Determine the value of x that satisfies the i… | GMAT Sprint

Free Practice Question

PS · Problem Solving

sub-505

Absolute Values/Modules

Determine the value of x that satisfies the inequality: $|4x-3|≤ \frac{1}{3}$

Answer Choices

Correct answer marked below

(

\frac{1}{3}, \frac{10}{9}

)

(

\frac{5}{3}, \frac{8}{7}

)

(

\frac{7}{3}, \frac{5}{6}

)

(

\frac{2}{3}, \frac{5}{6}

)

Correct

(

\frac{8}{11}, \frac{5}{4}

)

See the full step-by-step explanation

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Track your performance and improve

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Start for free Sign in

Explanation

Preview

Official Explanation

Official

Read the full explanation

Create free account Sign in

Comments

TumulAug 4, 2024

Thank for sharing!

FrancescoSep 12, 2024

greatt question!

What this question tests

What it tests

Your ability to solve absolute-value equations and inequalities by considering both cases.

Common trap

Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.

Determine the value of x that satisfies the inequality: ∣4x−3∣≤13|4x-3|≤ \frac{1}{3}∣4x−3∣≤31​