Answered

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Solve for xx and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution (∅), leave the number line blank.45≥4x+5 and 53>4x+5

Sagot :

Expression given:

[tex]45\ge4x+5[/tex][tex]53>4x+5[/tex]

Procedure:

• Solving for ,x ,in first inequality

[tex]-4x\ge-45+5[/tex][tex]-4x\ge-40[/tex][tex]x\le\frac{-40}{-4}[/tex][tex]x\le10[/tex]

• Solving for ,x ,in second inequality

[tex]-4x>-53+5[/tex][tex]x<\frac{-48}{-4}[/tex][tex]x<12[/tex]

Thus, the graph would be:

If the solution is for both inequalities, then the answer is in which both are included:

[tex]x\le10[/tex]

View image RashelleI56479
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