Question

Solve |x| > 5 .

a) -5, 5
b) x ∣ x > 5
c) x ∣ x < -5 or x > 5
d) -5 < x < 5

Answer 1

To solve |x| > 5, we consider two cases: when x is positive and when x is negative. The solutions are x < -5 or x > 5.

Step-by-step explanation:

To solve |x| > 5, we need to consider two cases: when x is positive and when x is negative. When x is positive, the equation |x| > 5 becomes x > 5.

When x is negative, the equation |x| > 5 becomes -x > 5. Solving for x in each case gives us two solutions: x > 5 and x < -5.

Combining these solutions, we have x < -5 or x > 5.