Solve the inequality. $| x - 4 | \geq 6$
A) $-$ 10, 2
B) $( - \infty , - 2 ] \cup [ 10 , \infty )$
C) $[ 4,6 ]$
D) $\phi$

Question

Quizplus · Accepted Answer

We can solve this inequality by breaking it up into two cases:
Case 1: $x-4\geq6$
Solving for x, we get $x\geq10$
Case 2: $x-4\leq -6$
Solving for x, we get $x\leq -2$
Therefore, the solution set is $( - \infty , - 2 ] \cup [ 10 , \infty )$, which is answer choice B.

Solve the Inequality ∣x−4∣≥6| x - 4 | \geq 6∣x−4∣≥6 A) −-−

Solve the Inequality $| x - 4 | \geq 6$ A) $-$