Question

Please help need to finish in a few

Answer 1

The only inequality that is true when w is 13 is
`$-w+4\ge-2$.`

The four inequalities shown are:

`$-w+4\ge-2$`

`$w+4\le2$`

w+4>2

−w+4>2

We need to find the inequality that is true when w is 13.

Evaluating the first inequality:

Substitute 13 for w :
`$-(13)+4\ge-2$`

Simplify the left side:
`$-9\ge-2$`

This is true.

Evaluating the second inequality:

Substitute 13 for $w$ :
`$13+4\le2$`

Simplify the left side:
`$17\le2$`

This is not true.

Evaluating the third inequality:

Substitute 13 for w :
`$13+4 > 2$`

Simplify the left side:
`$17 > 2$`

This is true.

Evaluating the fourth inequality:

Substitute 13 for w :
`$-(13)+4 > 2$`

Simplify the left side:
`$-9 > 2$`

This is not true.

Therefore, the only inequality that is true when w is 13 is
`$-w+4\ge-2$.`