Question

Kelsey is solving the inequality 17+4x<9. To solve the inequality, she begins by solving the equation as shown. Which number line represents the solution to the inequality?

Answer 1

its the open circle starting at -2, then going down to all the other negative numbers. ( like -3,-4,-5, etc.)

Answer 2

The solution in the attached figure

Explanation:

we have

`17+4x<9`

Subtract 17 both sides

`4x<9-17`

`4x<-8`

Divide by 4 both sides

`x<-8/4`

`x<-2`

The solution is the interval (-∞,-2)

All real numbers less than -2

In a number line the solution is the shaded area to the left at number -2 (open circle)

see the attached figure