Page 207 - ABCTE Study Guide_Neat

Write this as two separate inequalities and solve:

OR

Values of n that are greater than or equal to 4 or are less than or equal to -18 will make this inequality
true.

2)

OR

Values of v that are greater than 10 or less than -10 will make the inequality true.

Question

Solve

A

B

C

D

Answer

The correct answer is A. Put (y -4) between -16 and 16, so that you have

. Then add four to all parts, giving you .

Review

• Absolute value is the distance a number is from zero on a number line.
• In absolute-value equations, the variable is equal to either the positive or negative value
that the absolute value was equal to. means that x = 7 or -7.
• When solving absolute-value equations, be sure to isolate the absolute value on one
side of the equation before creating the two new equations to solve.
• Compound inequalities are two inequalities joined by and or or.
• For absolute-value inequalities that use the "less than" or "less than or equal" sign: set
the absolute value part of the inequality between the positive and negative values of the
number from the other side of the inequality. (This is an and compound inequality.)