Question

Which is a solution toy ⩽ -2x + 1 (-3,8)(2,-2)(0,5)(-1, 3)

Answer 1

To find the right solution, we just have to evaluate the expression with each given point

(-3,8)

`\begin{gathered} 8\leq-2\cdot(-3)+1 \\ 8\leq6+1 \\ 8\leq7 \end{gathered}`

(2,-2)

`\begin{gathered} -2\leq-2\cdot2+1 \\ -2\leq-4+1 \\ -2\leq-3 \end{gathered}`

(0,5)

`\begin{gathered} 5\leq-2\cdot0+1 \\ 5\leq1 \end{gathered}`

(-1,3)

`\begin{gathered} 3\leq-2\cdot(-1)+1 \\ 3\leq2+1 \\ 3\leq3 \end{gathered}`

As you can observe, the last choice satisfies the inequality.

Hence, the answer is (-1,3).