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## Linear Inequalities

When is 2x greater than x? Compare algebraic expressions with linear inequalities.

# Multi-Step

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

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

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

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

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

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