Solving Linear Inequalities

Solving Linear Inequalities

Elizabeth Borres

Multiple Choice

Evaluate the expression

$$\left|4w+3\right|\ if\ \ w\ =\ -2.$$  

• 5

• 7

• 11

• 12

Multiple Choice

Evaluate the expression 

$$\left|2x+y\right|\ if\ x\ =\ 1.5\ and\ y\ =4.$$  

• 5

• 7

• 10

• 20

Multiple Choice

Evaluate the expression 5|xy – w| if w = –2, x = 1.5, and y = 4.

• 5

• 10

• 20

• 40

Multiple Choice

Solve the equation |b + 20| = 21.

• {–41, 1}

• {–41, –1}

• {–1, 1}

• {1, 2}

Multiple Choice

Solve the equation –4|a + 5| = –8.

• {7, 3}

• {2, 3}

• {–7, –3}

• {–2, 3}

Multiple Choice

What is the solution to the equation

2|3x – 1| – 1 = –5?

• $$x=-\frac{1}{3}$$

• $$x=1$$

• $$x=-\frac{1}{3}\ and\ x\ =1$$

• no solution

At the end of the lesson, the student will:

1. Solve equations involving absolute values.

2. Solve one-step inequalities.

3. Solve multi-step inequalities.

Solve 4y – 3 < 5y + 2.

Graph the solution set on a number line.

(Show work)

Poll

Do you have any question/clarification?

Solve

 $12\ge-0.3p$  

Graph the solution set on a number line.

(show work)

What is the solution to 

 $-3x\ge21?$  

(show work)

Open Ended

Pause for awhile and think of the example or examples that confuse you? You can unmute yourself or type it in the chatbox.

Type "NEXT" if you are good.

Solve $-x\ >\frac{x-7}{2}.$  

Graph the solution set on a number line.

(Show work)