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ASVAB · Algebra Basics and Equations

Solve the inequality: x + 5 > 12.

Correct answer

x > 7

  1. A x > 7
  2. B x < 7
  3. C x > 17
  4. D x > 5

Why this is the answer

Solve an inequality much like an equation: subtract 5 from both sides of x + 5 > 12 to get x > 7. The solution is all values greater than 7. Note that the inequality sign stays the same when adding or subtracting; it only flips when you multiply or divide both sides by a negative number (which doesn't happen here). So the answer is x > 7. Inequalities are common on Mathematics Knowledge, and the steps mirror solving equations, with that one rule about flipping the sign for negative multiplication or division.
Source: ASVAB MK, Solving Inequalities

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