One and Two-Step Inequalities

Solving 1 & 2 step inequalities

Terms and graphing review

fill in the blanks describing each inequality symbol, then graph the inequality on the number line.

Solving 1 and 2-step inequalities

Multiple Select

Predict

Which inequalities will require the inequality symbol to be "flipped" in the final solution?

• $$3x+5>11$$

• $$-2x\ge10$$

• $$-\frac{1}{2}x+9\le3$$

• $$x+10<-5$$

Multiple Select

Which inequalities will require the inequality symbol to be "flipped" in the final solution?

• $$4x-12<8$$

• $$-0.5x>4$$

• $$-10+3x\ge2$$

• $$8-x\le14$$

Example

Solve and graph the inequality below. Then choose one value from the solution set to test in the original inequality to check your graphing.

Graph

Example

Solve and graph the inequality below. Then choose one value from the solution set to test in the original inequality to check your graphing.

Graph

Example

Solve and graph the inequality below. Then choose one value from the solution set to test in the original inequality to check your graphing.

Graph

Example

Solve and graph the inequality below. Then choose one value from the solution set to test in the original inequality to check your graphing.

Graph

Example

Solve and graph the inequality below. Then choose one value from the solution set to test in the original inequality to check your graphing.

Graph

Multiple Choice

What is the solution set?

$$4x-12<8$$

• $$x>5$$

• $$x<5$$

• $$x>-1$$

• $$x<-1$$

Multiple Choice

What is the solution set?

$$-0.5x>4$$

• $$x>-2$$

• $$x>-8$$

• $$x<-2$$

• $$x<-8$$

Multiple Choice

What is the solution set?

$$-10+3x\ge2$$

• $$x\ge4$$

• $$x\ge-4$$

• $$x<4$$

• $$x\le-4$$

Multiple Choice

What is the solution set?

$$8-x\le14$$

• $$x<6$$

• $$x\ge-6$$

• $$x\le-22$$

• $$x>22$$