Linear Inequalities

Multi-Step Linear Inequalities


If xx is an integer that satisfies the inequality 12x8x+12812 x \leq 8x+ 128, what is the largest possible value of xx?

What is the maximum integer xx that satisfies the inequality 3(x+1)30<x+15?3(x+1)-30 < x+15?

Solve x33>2x+14.\displaystyle \frac{x-3}{3}>2x+14.

Solve x56>1. \frac{\frac{x}{5}}{6} > 1.

What is the maximum value of xx that satisfies x4+715\frac{x}{4} + 7 \leq 15 ?


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