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# Linear Inequalities

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

# Linear Inequalities Warmup

If $$x < -3$$ and $$y > 1,$$ the value of $$xy$$ is:

If $$x < y$$ and $$z < x,$$ place $$x, y,$$ and $$z$$ in order from least to greatest value.

True or False?

If $$-x \leq -7,$$ then $$x \leq 7.$$

Given the following inequalities, what could be true about $$x$$ and $$y$$? $x + y < z$ $x - y > z$ $z > 0$ $y < x$

How many solutions exist for this inequality?

$$3x > 12$$

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