The number line shows the graph of an inequality:

A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the seventh mark to the left of 0. The region to the left of the empty circle is shaded.
Which statement explains whether −4.5 can be a value in the shaded region? (5 points)

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.

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The number line shows the graph of an inequality A number line is shown from negative 5 to positive 5 with increments of 05 All the whole numbers are labeled on class=

Respuesta :

Answer:

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

Step-by-step 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