Solve and graph: \(3x+3 < 2x-1\)

Solve: \(\, -2y-3 \leq 7\)

Solve \(\, 3(2x-4)-7x \leq -3x\)

Graph \(\, \{x \mid x \leq -2\) or \(x>3\}\)

Graph \(\, \{x \mid x > -1\) and \(x < 2\}\)

Solve and graph: \(\, -3 \leq 2x-5 \leq 3\)

Solve \(3t+7 \leq -4\) or \(3t+7 \geq 4\)

A company that manufactures ink cartridges finds that they can sell \(x\) cartridges each week at \(p\) dollars, according to \(x=1,300-100p\). What price should they charge if they want to sell at least \(300\) cartridges?

Find the value of \(z\cdot\dfrac{\sigma}{\sqrt{n}}\), when \(z=1.96\), \(\sigma=5\), and \(n=100\).

Suppose we poll a sample of \(100\) people to find the percent \(P\) of them that will vote for a certain candidate. The results give us these numbers \[\overline{x}=42, z=2.58, \sigma=5,\text{ and } n=100\] The actual percent of the population that will vote for our candidate is given by \[\overline{x}\pm z\cdot\dfrac{\sigma}{\sqrt{n}}\] Substitute the given numbers into the expression, simplify, and then convert the results to an inequality.