Question

Solve each two-step inequality and graph the solution set on a number line -17 < 3-5x

Answer 1

`x < 4`

Explanation:

Given the following question:


`-17 < 3-5x`

In order to find the answer, we will solve the inequality as if it is a regular two-step equation and then we will plot the answer on the number line.


`-17 < 3-5x`

`-17 < 3-5x=3-5x > -17`

`3-5x > -17`

`3-3=0`

`-17--3=-20`

`5x=-20`

`(5x)/(5)=x`

`20/5=-4`

`x < 4`

When plotting inequalities on the number line keep a few things in mind:

. 4 is greater than x, so the line will go towards the opposite direction of four
. < is a greater sign, it's not a greater or equal to sign (≤) which means it will be an open dot.

Hope this helps.