Question

PLZ ASAP HELP! The number line shows the graph of an inequality.

Which statement explains whether −4.5 can be a value in the shaded region?


No it cannot, because −4.5 lies to the left of −3.5.

No it cannot, because −4.5 lies to the right of −3.5.

Yes it can, because −4.5 lies to the right of −3.5.

Yes it can, because −4.5 lies to the left of −3.5.

Answer 1

d

Explanation:

Answer 2

Yes it can, because
`-4.5` lies to the left of
`-3.5`

Explanation:

we know that

The solution of the inequality is equal to the interval------> (-∞,-3.5)

All real numbers less than
`-3.5`

`x<-3.5`

Substitute in the inequality

`-4.5<-3.5` ------> is true

therefore

The number
`-4.5` is a value in the shaded region, because lies to the left of
`-3.5`