QuestionAugust 24, 2025

Solve vert x-6vert +8=17 A. x=-15 and x=3 B. x=15 and x=-15 C. x=-15 and x=-3 D. x=15 and x=-3

Solve vert x-6vert +8=17 A. x=-15 and x=3 B. x=15 and x=-15 C. x=-15 and x=-3 D. x=15 and x=-3
Solve vert x-6vert +8=17
A. x=-15 and x=3
B. x=15 and x=-15
C. x=-15 and x=-3
D. x=15 and x=-3

Solution
4.7(349 votes)

Answer

D. x=15 and x=-3 Explanation 1. Isolate the absolute value Subtract 8 from both sides: \vert x-6\vert = 9 2. Solve for x inside the absolute value Consider two cases: x-6=9 and x-6=-9 3. Solve each case Case 1: x-6=9 \Rightarrow x=15 Case 2: x-6=-9 \Rightarrow x=-3

Explanation

1. Isolate the absolute value<br /> Subtract 8 from both sides: $\vert x-6\vert = 9$<br />2. Solve for $x$ inside the absolute value<br /> Consider two cases: $x-6=9$ and $x-6=-9$<br />3. Solve each case<br /> Case 1: $x-6=9 \Rightarrow x=15$<br /> Case 2: $x-6=-9 \Rightarrow x=-3$
Click to rate:

Similar Questions