-6 < 3x - 7 < 11
Added by Robert B.
Step 1
First, we add 7 to all parts of the inequality to isolate the variable: -6 + 7 < 3x - 7 + 7 < 11 + 7 1 < 3x < 18 Then, we divide all parts of the inequality by 3, remembering to reverse the inequality signs if we divide by a negative number: 1/3 < x < 6 Show more…
Show all steps
Close
Your feedback will help us improve your experience
Nicole Smina and 51 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Solve the inequality. Express your answer in interval notation, and graph the solution set on the number line. $$\left|\frac{x+7}{6}\right| < 5$$
Functions, Graphs, and Applications
Equations and Inequalities Involving Absolute Value
Linear Inequalities Solve the linear inequality. Express the solution using interval notation and graph the solution set. $-6 \leq 3 x-7 \leq 8$
Equations and Graphs
Solving Inequalities
Solve each inequality. Write each set in interval notation. $$ 7<x+6 \leq 12 $$
Compound Inequalities
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD