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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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