Understanding Absolute Value Equations and Inequalities

Why does the equation |x + 2| = -3 have no solution?

• Because absolute values are always non-negative.

• Because x must be a positive integer.

• Because x cannot be negative.

• Because the equation is not in standard form.

What is the solution set for an inequality where the absolute value is greater than a negative number?

• Only positive numbers

• All real numbers

• No solution

• Only negative numbers

How do you solve an equation where the absolute value of one expression equals the absolute value of another?

• By setting the expressions equal and solving for x

• By finding the square of both expressions

• By setting one expression to zero

• By adding the expressions together

In the equation |2x + 1| = |x - 2|, what is one possible value of x?

• x = 0

• x = -3

• x = 5

• x = 2

What is the other possible value of x for the equation |2x + 1| = |x - 2|?

• x = 4

• x = -1/3

• x = 3

• x = 1/3