Solve the inequality. Write the solution in interval notation. |-3 x+1| ≤5

Name: Problem 58, Chapter 2: College Algebra with Modeling and Visualization
Uploaded: 2021-04-16T14:08:29-08:00
Duration: 1 min 47 s
Channel: Kamalesh Bagrecha
Description: Solve the inequality. Write the solution in interval notation. |-3 x+1| ≤5

step 1 In the given question you have to solve an inequality that is modulus of minus 3x plus 5 should

Solve the inequality. Write the solution in interval...

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Key Concepts

Compound Inequalities

Compound inequalities are formed when a single inequality is split into two simultaneous inequalities. They are used to describe the solution set of an absolute value inequality in a form such as a ? variable ? b, representing a range of acceptable values.

Interval Notation

Interval notation is a concise way to write subsets of the real number line. It employs parentheses and brackets to denote open and closed endpoints, respectively, indicating whether endpoints are included in the solution set.

Absolute Value

Absolute value represents the non-negative magnitude of a real number. It indicates the distance of a number from 0 on the number line, regardless of which direction from 0 the number lies.

Absolute Value Inequalities

Absolute value inequalities involve expressions with absolute values bounded by some number. Solving them typically involves rewriting the inequality into a compound inequality that captures all possible values whose distance from zero meets the given criteria.

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