2.4 Day 1 Solving Two-step Inequalities

Solving Two-step

Inequalities

2.4 Day 1

Learning Target

Student will be able to…

●Solve two-step inequalities.

●Use two-step inequalities to solve real-life problems.

Multiple Choice

Solve: $$x-3>5$$

• $$x<8$$

• $$x>8$$

• $$x\le8$$

• $$x\ge8$$

Multiple Choice

Solve: $$4\le2+x$$

• $$x<2$$

• $$x>2$$

• $$x\le2$$

• $$x\ge2$$

Multiple Choice

Solve: $$2x\ge-4$$

• $$x<2$$

• $$x>-2$$

• $$x\le2$$

• $$x\ge-2$$

Multiple Choice

Solve: $$-8x<-4$$

• $$x<\frac{1}{2}$$

• $$x>\frac{1}{2}$$

• $$x\le\frac{1}{2}$$

• $$x\ge\frac{1}{2}$$

Multiple Choice

Solve: $$3\ge\frac{x}{-4}$$

• $$x<-12$$

• $$x>-12$$

• $$x\le-12$$

• $$x\ge-12$$

Example 1: Solve and Graph Inequalities

Solve

a)

b)

Example 2: Solve and Graph Inequalities

a)

b)

c)

Example 4: Real-Life Applications

You need a mean score of at least 90 points to
advance to the next round of the touch-screen trivia
game. What score in the fifth game will allow you to
advance?

Match

Match the inequality with its graph.

• $$7b-4\le10$$

• $$4p+4\ge12$$

• $$-6g+2\ge20$$

• $$3\left(2-f\right)\le15$$