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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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