Learn Before
Example

Try It: Solving and Graphing 3x4<53x - 4 < 5 and 4x+914x + 9 \geq 1

To further practice solving "and" compound inequalities, consider 3x4<53x - 4 < 5 and 4x+914x + 9 \geq 1. For the first inequality, adding 44 gives 3x<93x < 9, so x<3x < 3. For the second, subtracting 99 gives 4x84x \geq -8, so x2x \geq -2. The numbers that make both inequalities true are those where the graphs of x<3x < 3 and x2x \geq -2 overlap. This interval includes 2-2 but excludes 33. Written in interval notation, the final solution is [2,3)[-2, 3).

0

1

Updated 2026-05-02

Contributors are:

Who are from:

Tags

OpenStax

Intermediate Algebra @ OpenStax

Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax

Algebra