Question

Which linear inequality could represent the given table of values?

y < –2x + 3

y ≤ –2x + 3

y > –One-halfx – 3

y ≤ –One-halfx – 3

Answer 1

B. y ≤ –2x + 3

Answer 2

Option B.

Explanation:

We need to find a linear inequality that could represent the given table of values.

For inequality 1,

`y<-2x+3`

Check the inequality by each order pair. For (3,-3)

`-3<-2(3)+3\Rightarrow -3<-3`

This statement is not true. So, option A is incorrect.

Inequality 2,

`y\leq -2x+3`

For (-4,-1),
`-1\leq -2(-4)+3\Rightarrow -1\leq 11` True

For (-2,4),
`4\leq -2(-2)+3\Rightarrow 4\leq 7` True

For (3,-3),
`-3\leq -2(3)+3\Rightarrow -3\leq -3` True

For (3,-4),
`-4\leq -2(3)+3\Rightarrow -4\leq -3` True

All points of given table satisfied by the inequality
`y\leq -2x+3`.

Therefore, the correct option is B.