Question

solve the following inequality. write the answer as an inequality, and graph the solution set. 5 - 6x < - 13
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
clear all draw:
question help: video

Explanation:

Step1: Isolate the term with x

Subtract 5 from both sides of the inequality $5 - 6x < - 13$.
$5-6x - 5< - 13 - 5$
$-6x<-18$

Step2: Solve for x

Divide both sides of the inequality by - 6. Remember that when dividing an inequality by a negative number, the direction of the inequality sign changes.
$\frac{-6x}{-6}>\frac{-18}{-6}$
$x > 3$

Answer:

Inequality: $x>3$
To graph: On the number - line, draw an open circle at 3 (because 3 is not included in the solution set) and draw an arrow to the right to represent all numbers greater than 3.