# How do you solve absolute value inequalities #absx>=2#?

By signing up, you agree to our Terms of Service and Privacy Policy

To solve the absolute value inequality |x| ≥ 2, you need to consider two cases: when x ≥ 0 and when x < 0.

For x ≥ 0, the inequality becomes x ≥ 2.

For x < 0, the inequality becomes -x ≥ 2, which simplifies to x ≤ -2 when multiplied by -1.

So, the solution is x ≥ 2 or x ≤ -2.

By signing up, you agree to our Terms of Service and Privacy Policy

- How do you graph the system of linear inequalities #x-y>7# and #2x+y<8#?
- Two cards are drawn from an deck of 52 cards, without replacement. How do you find the probability that exactly one card is a spade?
- How do you solve #21>15+2a#?
- How do you solve and write the following in interval notation: #4 ≤ 3 − x <8#?
- How do you solve #abs(5 - 1/x)< 2#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7