Question

Choose the correct description of the graph of the compound inequality (1 point)

x - 3<-9 or x + 5 > 10.
A number line with an open circle on -6, shading to the left, and a closed circle on 5, shading to the right
and
A number line with a closed circle on -6, shading to the left, and an open circle on 5, shading to the right
eview
A number line with an open circle on-6, a closed circle on 5, and shading in between
A number line with a closed circle on -6, an open circle on 5, and shading in between
17.(02.06)
DESCRIPTION​

Answer 1

A number line with an open circle on -6, shading to the left, and a closed circle on 5, shading to the right

Explanation:

we have

`x-3 < -9` ----> inequality A

or

`x+5 \geq 10` ----> inequality B

Solve inequality A

`x < -9+3`

`x < -6`

The solution of inequality A is the interval ----> (-∞, -6)

Solve inequality B

`x\geq10-5`

`x\geq5`

The solution of inequality B is the interval ----> [5,∞)

The solution of the compound inequality is

(-∞, -6) ∪ [5,∞)

The solution is

A number line with an open circle on -6, shading to the left, and a closed circle on 5, shading to the right