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Try It: Solving and Graphing 4x7<94x - 7 < 9 and 5x+835x + 8 \geq 3

To practice solving a compound inequality with "and", solve the inequalities 4x7<94x - 7 < 9 and 5x+835x + 8 \geq 3. Solving the first inequality gives 4x<164x < 16, which simplifies to x<4x < 4. Solving the second inequality yields 5x55x \geq -5, which simplifies to x1x \geq -1. Graphing both results shows that the intersection—the numbers making both true—is between 1-1 and 44. The boundary 1-1 is included while 44 is not. In interval notation, this overlapping solution is written as [1,4)[-1, 4).

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Updated 2026-05-02

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