Question

Choose the correct description of the graph of the compound inequality

x - 1 less than or equal to 7 or 2x greater than or equal to 22


A ) A number line with an open circle on 8, an open circle on 11, and shading in between.

B ) A number line with an open circle on 8, shading to the left, and an open circle on 11, shading to the right.

C) A number line with a closed circle on 8, shading to the left, and a closed circle on 11, shading to the right.

D) A number line with a closed circle on 8, a closed circle on 11, and shading in between.

Answer 1

As
x - 1 ≤ 7 or 2x ≥ 22
(-∞ ,8] U [11, +∞)
so the correct description of the graph of the compound inequality is
A number line with a closed circle on 8, shading to the left, and a closed circle on 11, shading to the right
so correct option i conclude is C
hope it helps

Answer 2

Answer : A number line with a closed circle on 8, shading to the left, and a closed circle on 11, shading to the right.

x - 1 ≤ 7 or 2x ≥ 22

x - 1 ≤ 7 ( add 1 on both sides)

x ≤ 8

2x ≥ 22 ( divide by 2 on both sides)

x ≥ 11

So solution is x ≤ 8 or x ≥ 11

To graph this we use number line

For <= or >= we use closed circle at that point

For <= we shade to the left and for >= we shade to the right on number line

For graphing x ≤ 8 or x ≥ 11, we use closed circle at 8 and 11 because we have <= and >= inequality. For x ≤ 8 , we shade to the left and for x ≥ 11 we shade to the right.

Option C is correct.