Question

Select all of the points that satisfy the linear inequality

Answer 1

Given:

An inequality y > 4x-2.

Required:

Select the points that satisfied the given inequality.

Explanation:

We will check it by putting the values of x and y in the given inequality.

(1) (1,4)

$\begin{gathered} 4>4\times1-2 \\ 4>4-2 \\ 4>2 \end{gathered}$

This is true, thus this point satisfied the given inequality.

(2) (0,5)

$\begin{gathered} 5>4\times0-2 \\ 5>0-2 \\ 5>-2 \end{gathered}$

This is true, thus this point satisfied the given inequality.

(3) (-2, -5)

$\begin{gathered} -5>4\times-2-2 \\ -5>-8-2 \\ -5>-10 \end{gathered}$

This is true, thus this point satisfied the given inequality.

(4) (1,2)

$\begin{gathered} 2>4\times1-1 \\ 2>4-1 \\ 2>3 \end{gathered}$

This is not true, thus this point does not satisfy the given inequality.