Solving and Graphing Linear Inequalities

Solving and Graphing Linear Inequalities

• I can determine if the boundary point is solid or open and I can graph linear in equalities.

• ​I can verify solutions to inequalities.

• I can solve and graph inequalities when the variable is on the right side of the inequality sign.​

• ​I can solve and graph inequalities when multiplying or dividing by a negative.​

• ​I can solve and graph multi-step linear inequalities in one variable.

Multiple Choice

I can determine if the boundary point is solid or open and I can graph linear in equalities.

Which inequality is represented by the graph shown?

• $$x\ge5$$  

• $$x>5$$  

• $$x\le5$$  

• $$x<5$$  

Multiple Choice

I can determine if the boundary point is solid or open and I can graph linear in equalities.

Which inequality is represented by the graph shown?

• $$x\ge-4$$  

• $$x>-4$$  

• $$x\le-4$$  

• $$x<-4$$  

Multiple Choice

I can determine if the boundary point is solid or open and I can graph linear in equalities.

Which inequality is represented by the graph shown?

• $$x\ge-1$$  

• $$x>-1$$  

• $$x\le-1$$  

• $$x<-1$$  

Multiple Choice

​I can verify solutions to inequalities.

Is  $$-3$$  a solution for the inequality:  $$4x\le-10$$

• yes

• no

Multiple Choice

​I can verify solutions to inequalities.

Is  $$-3$$  a solution for the inequality:  $$4x+3\le-10$$

• yes

• no

Multiple Choice

​I can verify solutions to inequalities.

Is  $$3$$  a solution for the inequality:  $$4x\le-10$$

• yes

• no

Multiple Select

I can solve and graph inequalities when the variable is on the right side of the inequality sign.

$$29<4x+13$$  

• $$x>4$$  

• $$x<4$$  

• $$4<x$$  

• $$4>x$$  

Multiple Select

I can solve and graph inequalities when the variable is on the right side of the inequality sign.

$$32\ge3x+38$$  

• $$x\ge-2$$  

• $$x\le-2$$  

• $$-2\ge x$$  

• $$-2\le x$$  

Multiple Choice

I can solve and graph inequalities when multiplying or dividing by a negative.

$$-4x-3>-23$$  

• $$x>5$$  

• $$x<5$$  

• $$x>-5$$  

• $$x<-5$$  

Multiple Choice

I can solve and graph inequalities when multiplying or dividing by a negative.

$$-2x+21\le7$$  

• $$x\ge7$$  

• $$x\le7$$  

• $$x\le-7$$  

• $$x\ge-7$$  

Multiple Choice

​I can solve and graph multi-step linear inequalities in one variable.

$$4x+3\ge-5$$  

• $$x\ge-2$$  

• $$x>-2$$  

• $$x\le2$$  

• $$x>2$$  

Multiple Choice

​I can solve and graph multi-step linear inequalities in one variable.

$$4x+2x+13>-5$$  

• $$x\ge-3$$  

• $$x>-3$$  

• $$x\le3$$  

• $$x>3$$  

Multiple Choice

​I can solve and graph multi-step linear inequalities.

$$-10-\left(-8x-7\right)>3x-10-4x$$  

• $$x>\frac{7}{9}$$  

• $$x<\frac{7}{9}$$  

• $$x>-\frac{7}{9}$$  

• $$x<-\frac{7}{9}$$  

Multiple Choice

​I can solve and graph multi-step linear inequalities.

$$-3x+4\left(-6x-2\right)<6x+7+6x$$  

• $$x<\ -\frac{15}{39}$$  

• $$x<-\frac{5}{13}$$  

• $$-\frac{5}{13}>x$$  

• $$x>-\frac{5}{13}$$