Lesson 2.4 Solving Inequalities And Solving Equations Intervention

Lesson 2.4 Solving Inequalities

by Mr. Hare

Vocabulary

​Create a Frayer Model for the following vocabulary words

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Inequality - is a statement that compares two expressions that are not strictly equal by using one of the following inequality signs

​Solve and Graph the following Inequalities

Multiple Choice

Solve the following Inequality 

$$-3\left(b+5\right)<45$$  

• $$b>-20$$  

• $$b>-10$$  

• $$b<-20$$  

• $$b<-10$$  

• $$b>-\frac{40}{3}$$  

Solve and graph the following inequalities

Multiple Choice

$$2\left(x-3\right)+9\ge x$$  

• $$x\ge-6$$  

• $$x\ge15$$  

• $$x\le-3$$  

• $$x\ge-3$$  

• $$x\le-6$$  

​Solve and Graph the Inequalities

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​How to solve inequalities and Equations that have fractions

SOLVE EQUATIONS BY CLEARING THE DENOMINATORS

1. Find the least common denominator of all the fractions in the equation.

2. Multiply both sides of the equation by that LCD. This clears the fractions.

3. Isolate the variable terms on one side, and the constant terms on the other side.

4. Simplify both sides.

5. Use the multiplication or division property to make the coefficient on the variable equal to 1.​

​How to solve inequalities and Equations that have fractions

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​Solve the Inequality

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Multiple Choice

Solve the Inequality

$$\frac{1}{2}a-7<\frac{2}{3}a-9$$  

• $$a>96$$  

• $$a>12$$  

• $$a>2$$  

• $$a>51$$