Question

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

Answer 1

The inequality equation given is,

`(7x+6)/(2)\leq3x+2`

Solve for x

Multiply both sides by 2

`\begin{gathered} 2*(7x+6)/(2)\leq2*(3x+2) \\ 7x+6\leq2*3x+2*+2 \\ 7x+6\leq6x+4 \end{gathered}`

Collect like terms

`\begin{gathered} 7x-6x\leq4-6 \\ x\leq-2 \\ \therefore x\leq-2 \end{gathered}`

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.