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ASVAB · Algebra Basics and Equations

Solve the inequality: 2x - 5 > 9

Reviewed by Jordan Morley, Editorial Lead at 247SimpleTests. Written by the 247SimpleTests Editorial Team from the official source material cited on every question.

Correct answer

x > 7

  1. A x > 7
  2. B x > 6
  3. C x > 2
  4. D x > 4

Why this is the answer

Add 5 to both sides: 2x > 14. Divide by 2: x > 7. Solve an inequality exactly like an equation, with one exception: if you multiply or divide both sides by a negative number, flip the inequality sign. Here you divide by positive 2, so the sign stays as '>'. Check with a value: x = 8 gives 2(8) − 5 = 11 > 9 ✓, while x = 6 gives 7, which is not greater than 9, ruling out the distractors x > 6, x > 4 and x > 2.
Source: ASVAB MK, Inequalities

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About this topic: Algebra Basics and Equations

Algebra basics cover solving linear equations and inequalities, working with expressions, substitution and simple systems. Do the same operation to both sides, and check your answer by substituting it back. This is one of 17 Mathematics Knowledge questions on algebra basics and equations, each with a full explanation on a single study page.

New to this exam? Our ASVAB exam guide explains the format, scoring, and how to prepare.

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