Inequalities with Rational Numbers

Which of the following expressions is an equality between two expressions containing one or more variables?

• Rational Function

• Rational Inequality

• Rational Equation

• Irrational expression

It is a root obtained in the process of solving an equation which looks correct but after analyzing it turns incorrect

• rational expression

• extraneous solution

• least common denominator

• quotient

What do you call an inequality which involves one or more rational expressions?

• rational function

• rational equation

• rational inequality

• irrational expression

What property will be used if you multiply the LCD on both sides of the equation?

• Distributive Property

• Associative Property

• Commutative Property

• Additive Property

Which of the following is not an inequality sign?

• ≤

• √

• ≥

• <

Solve for the solutions of the rational inequality (x+3)/(x-2)≤1.

• [∞, 2)

• (∞, 2]

• (-∞, 2)

• [-∞, 2)

The usual technique to eliminate denominator in solving a rational equation is to multiply both sides of the equation by

• inverse factor

• GCF

• LCD

• GCD

What are the critical values in the given rational inequality (x+12)/(x+2) ≤ 2?

• x = -2 and 8

• x = -2 and -8

• x = -2 and 12

• x = -2 nd -12

Which of the critical value/s is/are included as endpoints of the intervals in (x+12)/(x+2) ≤ 2?

• -2

• 2

• 8

• -8

Which of the following is the solution in the given inequality (x+12)/(x+2) ≤ 2?

• (-∞, 2) U (8,∞)

• (-∞, -2]U [8,∞)

• (-∞, -2) U [8,∞)

• (-∞, -2]U [-8,∞)