2.6 Day 1 Solving Absolute Inequalities with "AND" Statement

Absolute Value Inequalities

2.6 Day 1

Learning Target

Student will be able to…

●Solve absolute value inequalities with “AND” statement.

Multiple Choice

Solve: $$-7\ge-x-1\ge4$$

• $$-5\ge x\ge6$$

• $$5>x>-6$$

• $$-5\le x\le6$$

• $$-5\le x\le-6$$

Multiple Choice

Solve: $$6+7x>13\ or\ -6x+5>-7$$

• $$-1<x<2$$

• $$-1<x<-2$$

• $$1<x<2$$

• $$-1\le x\le-2$$

Multiple Choice

Solve: $$4m-7>13\ or\ 3m-1\ge2$$

• $$1\le m<5$$

• $$1\ge m>5$$

• $$m>5$$

• $$m\le-5$$

Multiple Choice

Solve: $$3x-2\le-17\ or\ 3x-3\le-18$$

• $$x>-5$$

• $$x\le-5$$

• $$1\ge x>5$$

• $$1\le x<5$$

Solving Absolute Value Inequalities

Example 1: Solving Absolute Value Inequalities

a)

|y+2| < 8

b)

|3+r| – 4 < 0

c)

d)

Example 2

Solve the absolute value inequality.

Multiple Choice

Solve: $$\left|x+3\right|<8$$

• $$-11<x<5$$

• $$-11>x>5$$

• $$-11<x<-5$$

• $$-11>x>-5$$