Flashcard E Absolute value equations and inequalities

Front

What is the solution set for: -13 < 2x + 5 < 15?

Back

-9 < x < 5

Front

Solve for x: | x - 7 | > 3

Back

x > 10 or x < 4

Front

What is the solution for x + 2 < -4 or -5x < -15?

Back

x < -6 or x > 3

Front

When graphing an inequality, which symbol uses an open circle?

Back

<, >

Front

Solve the absolute value equation: |2x - 3| = 1

Back

x = 2 or x = 1

Front

What does the absolute value of a number represent?

Back

The distance of the number from zero on the number line.

Front

How do you isolate x in the equation |x| = a?

Back

x = a or x = -a, where a ≥ 0.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoints; non-strict inequalities (≤, ≥) do.

Front

What is the graphical representation of x < 3?

Back

A number line with an open circle at 3 and shading to the left.

Front

How do you solve the inequality 3x - 5 > 4?

Back

x > 3.