Question

Express the fact that X differs from 2 by more than 3 as an inequality involving an absolute value. Solve for x

Answer 1

An inequality is also an algebraic equation. However, instead of '=' sign, it uses either of these: <, >, ≤, ≥. To translate: X differs from 2 by more than 3, that would be:

2 - x > 3
We use the '>' equation because the open area should face the larger value. Solving the equation:
-x > 3 - 2
-x > 1
x > -1