91Ó°ÊÓ

For Exercises 14 to \(24,\) solve and write the answer in set-builder notation. $$2 x-3(x-4) \geq 4-2(x-7)$$

Write the set in interval notation. $$\\{x |-2

Di Are there any points whose coordinates satisfy both \(y<2 x-3\) and \(y>-\frac{1}{4} x+1 ?\) If so, give the coordinates of three such points. If not, explain why not.

A theorem from geometry called the Triangle Inequality Theorem states that the sum of the lengths of two sides of a triangle must be greater than the length of the third side. Suppose two sides of a triangle measure 10 in. and 18 in. Let \(x\) be the length of the third side. What are the possible values for \(x ?\)

Solve and write the answer in interval notation. $$2>-y$$

Solve and write the answer in set-builder notation. $$-\frac{3}{5} x<0$$

Without actually solving the inequality or using a calculator, determine which of the following statements is true. (i) \(n\) must be positive. (ii) \(n\) must be negative. (iii) \(n\) can be positive, negative, or zero. $$-0.8157 n>7.304$$

To be eligible for a basketball tournament, a basketball team must win at least \(60 \%\) of its remaining games. If the team has 17 games remaining, how many games must the team win to qualify for the tournament?

Graph the solution set. $$|x|<4$$

Graph the solution set. $$|x|>1$$