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Multiple Select

Select the two equations that are need to solve the absolute value equation below:

$$\left|3x+4\right|=2x$$

• $$-\left(3x+4\right)=2x$$

• $$-3x+4=2x$$

• $$3x-4=2x$$

• $$3x+4=2x$$

Multiple Select

Solve the equation:

$$\left|-2x\right|=10$$

• x=5

• x=-5

• x=4

• x=-4

Multiple Select

Solve the equation:

$$\left|3x+5\right|=10$$

• $$x=\frac{5}{3}$$

• $$x=-5$$

• $$x=-\frac{5}{3}$$

• $$x=5$$

Multiple Select

Solve the equation:

$$2\left|3x-2\right|=16$$

• $$x=\frac{4}{3}$$

• $$x=\frac{10}{3}$$

• $$x=3$$

• $$x=-2$$

Multiple Select

Solve the equation and check for extraneous solutions:

$$\left|x+6\right|=3x-8$$

• $$x=7$$

• $$x=\frac{1}{2}$$

• $$x=\frac{3}{4}$$

• $$x=9$$

Multiple Choice

Solve the inequality:

$$\left|x-5\right|\ge9$$

• $$x\ge14\ \ or\ \ x\le-4$$

• $$x\le14\ \ or\ \ x\ge-4$$

• $$x\le14\ \ or\ \ x\le-4$$

• $$x\ge14\ \ or\ \ x\ge-4$$

Multiple Choice

Solve the absolute value inequality:

$$2\left|4x+3\right|-5\le1$$

• $$x\le0\ \ or\ \ x\ge\frac{3}{2}$$

• $$x\ge0\ \ or\ \ x\ge-\frac{3}{2}$$

• $$x\le0\ \ and\ \ x\ge-\frac{3}{2}$$

• $$x>0\ \ and\ \ x\le-\frac{3}{2}$$