Solve: |x - 10| = 8
A) {2, 18}
B) {-18, 18}
C) {2}
D) {18}

Name: Solve: |x - 10| = 8 A) {2, 18} B) {-18, 18} C) {2} D) {18}
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Question

Quizplus · Accepted Answer

We have |x - 10| = 8, which means the distance between x and 10 is 8. Possible solutions therefore are x = 10 + 8 = 18 or x = 10 - 8 = 2. Thus the solution is the set {2, 18}. Option A is the only one that includes both values 2 and 18. The other options either include only one of the values or include additional extraneous values.

Solve: |X - 10| = 8