Question

Choose the correct description of the graph of the compound inequality:

x - 3 < -9 or x + 5 greater than or equal to 12

A number line with a closed circle on -6, shading to the left, and an open circle on 7, shading to the right

A number line with an open circle on -6, a closed circle on 7, and shading in between

A number line with an open circle on -6, shading to the left, and a closed circle on 7, shading to the right

A number line with a closed circle on -6, an open circle on 7, and shading in between

Answer 1

x - 3 < -9 -- add 3 to both sides
x < -9 + 3
x < - 6

x + 5 >= 12 -- subtract 5 from both sides
x >= 12 - 5
x > = 7

learn this..
if there is an equal sign, it is a closed circle
no equal sign means open circle
< less then means shading to the left
> greater then means shading to the right

so we have : x < -6 and x >= 7

open circle on -6, shading to the left
closed circle on 7, shading to the right

any questions ?

Answer 2

no , thanks