Question

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

Answer 1

Answer:

$x < 4$

Step-by-step 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.

$-17 < 3-5x$
$-17 < 3-5x=3-5x > -17$
$3-5x > -17$
$3-3=0$
$-17--3=-20$
$5x=-20$
$\frac{5x}{5}=x$
$20\div5=-4$
$x < 4$

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.