Solve for x.
5x - 1 ≥ 9 and 3x + 5 < 29
To solve the compound inequalities 5x - 1 ≥ 9 and 3x + 5 < 29, we need to solve each inequality separately and then find the intersection of the two.
Solve the first inequality 5x - 1 ≥ 9:
5x - 1 ≥ 9
5x - 1 + 1 ≥ 9 + 1 (add 1 to both sides)
5x ≥ 10
5x/5 ≥ 10/5 (divide both sides by 5)
x ≥ 2
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