Question

Choose the correct description of the graph of the compound inequality. x - 3 < -9 or x + 5 greater than or equal to 10. A. A number line with an open circle on -6, shading to the left, and a closed circle on 5, shading to the right. B. A number line with a closed circle on -6, shading to the left, and an open circle on 5, shading to the right. C. A number line with an open circle on -6, a closed circle on 5, and shading in between. D. A number line with a closed circle on -6, an open circle on 5, and shading in between.

Answer 1

the correct answer is option c "a number line with an open circle on −6, shading to the left, and a closed circle on 7, shading to the right"

Explanation:

just took the quiz :)

Answer 2

First, let's solve the inequality:
x - 3 < -9
//add 3 to both sides:
x<-6



the second inequality:
x + 5 ≥ 10
//substract 5 from both sides:
x ≥ 5

So we need to map:

x<-6
x ≥ 5

Now, shading will be to the leftof -6 and to the right of 5 - this is compatible with answers A and B.

A closed circle means that the number is included, so the correct answer is A!