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

Question

Mathematics

Chubs

13 February, 05:32

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

+1

Answers (1)

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Kylie Mccann · 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