Elementary and Intermediate Algebra

Mark Dugopolski, Southeastern Louisiana University

Quadratic Equations, Functions, and Inequalities

Quadratic and Rational Inequalities

Warm-Ups


1	The solution set to x² > 4 is (2, ∞).
		A)	TRUE
		B)	FALSE


2	The inequality x/(x - 3) > 2 is equivalent to x > 2x - 6.
		A)	TRUE
		B)	FALSE


3	The inequality (x - 1)(x + 2) < 0 is equivalent to x - 1 < 0 or x + 2 < 0.
		A)	TRUE
		B)	FALSE


4	We cannot solve quadratic inequalities that do not factor.
		A)	TRUE
		B)	FALSE


5	One technique for solving quadratic inequalities is based on the rules for multiplying signed numbers.
		A)	TRUE
		B)	FALSE


6	Multiplying each side of an inequality by a variable should be avoided.
		A)	TRUE
		B)	FALSE


7	In solving quadratic or rational inequalities, we always get 0 on one side.
		A)	TRUE
		B)	FALSE


8	The inequality x/2 > 3 is equivalent to x > 6.
		A)	TRUE
		B)	FALSE


9	The inequality (x - 3)/(x + 2) < 1 is equivalent to (x - 3)/(x + 2) -1 < 0.
		A)	TRUE
		B)	FALSE


10	The solution set to (x + 2)/(x - 4) ≥ 0 is (-∞, -2] U [4, ∞).
		A)	TRUE
		B)	FALSE

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