Home > Algebra > Absolute Value Inequalities

How do you solve and graph #abs(4 – v) < 5#?

Answer 1

Draw both graphs. Everything under #y=5# is part of the solution. So #-1 < v<+9# graph{|4-x| [-4.67, 15.33, -2.04, 7.96]}

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eva Abramson

To solve and graph the inequality abs(4 - v) < 5:

Write the inequality as two separate inequalities: 4 - v < 5 and -(4 - v) < 5.
Solve each inequality separately.
Plot the solutions on a number line.
Shade the regions where the inequality holds true.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Trending questions

Not the question you need?

HIX Tutor

Solve ANY homework problem with a smart AI

98% accuracy study help
Covers math, physics, chemistry, biology, and more
Step-by-step, in-depth guides
Readily available 24/7

How do you solve and graph #abs(4 – v) &lt; 5#?

How do you solve and graph #abs(4 – v) < 5#?