Question

Which of the following number lines represents the solution set of the inequality -x + 4 < 3? (image is attached)

Answer 1

Let's solve your inequality step-by-step.

`(-1)/(3)x+4<3`

Step 1: Subtract 4 from both sides.

`(-1)/(3) x`
`+ 4 - 4 < 3 -4`

`(-1)/(3)x <-1`

Step 2: Multiply both sides by 3/(-1).

`((-1)/(3))*((-1)/(3)x)<((-1)/(3)) *(-1)`

And... here's your answer!

`x < -3` (Bubble C)