CHAPTER 17 REVIEW EXERCISES

CONCEPT CHECK EXERCISES

Determine each of the following as being either true or false. If it is false, explain why.

$x < - 3$ or $x > 1$ may also be written as $1 < x < - 3.$
The solution of the inequality $- 3 x > 6$ is $x > - 2.$
The solution of the inequality $x^{2} - 2 x - 8 > 0$ is $x < - 2$ or $x > 4.$
The solution of the inequality $| x - 2 | < 5$ is $x < - 3$ or $x > 7.$
The graphical solution of the inequality $y \geq x + 1$ is shown as all points above the line $y = x + 1.$
The maximum value of the objective function $F = x + 2 y,$ subject to the conditions $x \geq 0, y \geq 0, 2 x + 3 y \leq 6,$ is 4.

In Exercises 7–22, solve each of the given inequalities algebraically. Graph each solution.

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