Which graph represents the system of inequalities?

⎧⎩⎨⎪⎪y−2x≤−3y−4≤−2xy>−14x

A system of 3 linear inequalities graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. A dashed line y equals negative fraction 1 over 4 end fraction x passes through begin ordered pair 4 comma negative 1 end ordered pair and begin ordered pair negative 4 comma 1 end ordered pair. A solid line y equals 2 x minus 3 passing through begin ordered pair 0 comma negative 3 end ordered pair and begin ordered pair 2 comma 1 end ordered pair. A solid line y equals negative 2 x plus 4 passes through begin ordered pair 0 comma 4 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. The region above the dashed line y equals negative fraction 1 over 4 end fraction x, above the solid line y equals 2 x minus 3 and above the solid line y equals negative 2 x plus 4 end fraction x is shaded.

A system of 3 linear inequalities graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. A dashed line y equals negative fraction 1 over 4 end fraction x passes through begin ordered pair 4 comma negative 1 end ordered pair and begin ordered pair negative 4 comma 1 end ordered pair. A solid line y equals 2 x minus 3 passing through begin ordered pair 0 comma negative 3 end ordered pair and begin ordered pair 2 comma 1 end ordered pair. A solid line y equals negative 2 x plus 4 passes through begin ordered pair 0 comma 4 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. The region below the dashed line y equals negative fraction 1 over 4 end fraction x, above the solid line y equals 2 x minus 3 and below the solid line y equals negative 2 x plus 4 end fraction x is shaded.

A system of 3 linear inequalities graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. A dashed line y equals negative fraction 1 over 4 end fraction x passes through begin ordered pair 4 comma negative 1 end ordered pair and begin ordered pair negative 4 comma 1 end ordered pair. A solid line y equals 2 x minus 3 passing through begin ordered pair 0 comma negative 3 end ordered pair and begin ordered pair 2 comma 1 end ordered pair. A solid line y equals negative 2 x plus 4 passes through begin ordered pair 0 comma 4 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. The region above the dashed line y equals negative fraction 1 over 4 end fraction x, below the solid line y equals 2 x minus 3 and above the solid line y equals negative 2 x plus 4 end fraction x is shaded.

A system of 3 linear inequalities graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. A dashed line y equals negative fraction 1 over 4 end fraction x passes through begin ordered pair 4 comma negative 1 end ordered pair and begin ordered pair negative 4 comma 1 end ordered pair. A solid line y equals 2 x minus 3 passing through begin ordered pair 0 comma negative 3 end ordered pair and begin ordered pair 2 comma 1 end ordered pair. A solid line y equals negative 2 x plus 4 passes through begin ordered pair 0 comma 4 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. The region below the dashed line y equals negative fraction 1 over 4 end fraction x, below the solid line y equals 2 x minus 3 and below the solid line y equals negative 2 x plus 4 end fraction x is shaded.

Question

02-11-2021
Mathematics

Answered

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Which graph represents the system of inequalities?

⎧⎩⎨⎪⎪y−2x≤−3y−4≤−2xy>−14x

A system of 3 linear inequalities graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. A dashed line y equals negative fraction 1 over 4 end fraction x passes through begin ordered pair 4 comma negative 1 end ordered pair and begin ordered pair negative 4 comma 1 end ordered pair. A solid line y equals 2 x minus 3 passing through begin ordered pair 0 comma negative 3 end ordered pair and begin ordered pair 2 comma 1 end ordered pair. A solid line y equals negative 2 x plus 4 passes through begin ordered pair 0 comma 4 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. The region above the dashed line y equals negative fraction 1 over 4 end fraction x, above the solid line y equals 2 x minus 3 and above the solid line y equals negative 2 x plus 4 end fraction x is shaded.

A system of 3 linear inequalities graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. A dashed line y equals negative fraction 1 over 4 end fraction x passes through begin ordered pair 4 comma negative 1 end ordered pair and begin ordered pair negative 4 comma 1 end ordered pair. A solid line y equals 2 x minus 3 passing through begin ordered pair 0 comma negative 3 end ordered pair and begin ordered pair 2 comma 1 end ordered pair. A solid line y equals negative 2 x plus 4 passes through begin ordered pair 0 comma 4 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. The region below the dashed line y equals negative fraction 1 over 4 end fraction x, above the solid line y equals 2 x minus 3 and below the solid line y equals negative 2 x plus 4 end fraction x is shaded.

A system of 3 linear inequalities graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. A dashed line y equals negative fraction 1 over 4 end fraction x passes through begin ordered pair 4 comma negative 1 end ordered pair and begin ordered pair negative 4 comma 1 end ordered pair. A solid line y equals 2 x minus 3 passing through begin ordered pair 0 comma negative 3 end ordered pair and begin ordered pair 2 comma 1 end ordered pair. A solid line y equals negative 2 x plus 4 passes through begin ordered pair 0 comma 4 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. The region above the dashed line y equals negative fraction 1 over 4 end fraction x, below the solid line y equals 2 x minus 3 and above the solid line y equals negative 2 x plus 4 end fraction x is shaded.

A system of 3 linear inequalities graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. A dashed line y equals negative fraction 1 over 4 end fraction x passes through begin ordered pair 4 comma negative 1 end ordered pair and begin ordered pair negative 4 comma 1 end ordered pair. A solid line y equals 2 x minus 3 passing through begin ordered pair 0 comma negative 3 end ordered pair and begin ordered pair 2 comma 1 end ordered pair. A solid line y equals negative 2 x plus 4 passes through begin ordered pair 0 comma 4 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. The region below the dashed line y equals negative fraction 1 over 4 end fraction x, below the solid line y equals 2 x minus 3 and below the solid line y equals negative 2 x plus 4 end fraction x is shaded.

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