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1. Here is an inequality below: Select ALL of the values that are a solutionto the inequality.7x + 6< 3.0 + 22X=-3X = -2_X = -1x = 0X = 1JUX = 2X = 3

1 Here Is An Inequality Below Select ALL Of The Values That Are A Solutionto The Inequality7x 6lt 30 22X3X 2X 1x 0X 1JUX 2X 3 class=

Sagot :

The inequality equation given is,

[tex]\frac{7x+6}{2}\leq3x+2[/tex]

Solve for x

Multiply both sides by 2

[tex]\begin{gathered} 2\times\frac{7x+6}{2}\leq2\times(3x+2) \\ 7x+6\leq2\times3x+2\times+2 \\ 7x+6\leq6x+4 \end{gathered}[/tex]

Collect like terms

[tex]\begin{gathered} 7x-6x\leq4-6 \\ x\leq-2 \\ \therefore x\leq-2 \end{gathered}[/tex]

Since, x ≤ -2 the values that are the solutions for x from the options are -2 and -3.

Therefore, the correct options are Option 1 and Option 2.

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