10/6 and 10/7 - Review for TEST

​NOTES:

• ​Wh​en solving inequalities, treat the inequality as if it were an equal sign.

• Remember to REVERSE your inequality when you DIVIDE or MULTIPLY​ by a NEGATIVE NUMBER!!!

​

​EXAMPLE: -2x + 4 < 10

.................................- 4 ​ - 4

.................................-2x < 6​

.................................-2..... -2​

​ .................................x > -3

Multiple Choice

Solve.

$$3x-7>5$$  

• x < -4 

• x > 3 

• x > 4 

• x > 6 

Multiple Choice

Solve.

$$12-2x<18$$  

• x > -3 

• x < -3 

• x < 12 

• x > -6 

Multiple Choice

Solve.

$$-4\left(x-2\right)+9x>2x+20$$  

• x < 2 

• x > 4 

• x > 3 

• x < -2 

Multiple Choice

Solve.

$$\frac{1}{3}x+7>9$$  

• x < -3 

• x > 2 

• x < -6 

• x > 6 

Multiple Choice

When you graph an inequality, you use a CLOSED circle when you use which symbols?

• ≤, ≥ 
• <, >

Multiple Choice

When graphing an inequality, you use an OPEN circle when you use which symbol?

• <, >

• < , >

Multiple Choice

What inequality does the number line graph represent?

• x ≤ 4
• x ≥ -4
• x < -4
• x < 4

Multiple Choice

What interval notation does the number line graph represent?

• [∞, -5)

• (∞, -5)

• [-5, ∞)

• (-5, ∞)

Multiple Choice

Look at the Graph. Write the inequality in interval notation.

• [-4, -1)

• (-4, -1)

• (-4, -1]

• [-4, -1]

Multiple Choice

$$\frac{4}{x-2}=\frac{6}{x+1}$$  

• 2

• 4

• 6

• 8

Multiple Choice

Solve.

$$\left|x-5\right|=11$$  

• -55 and 55

• 16 and -6

• 5 and 11

• 2 and -3

Multiple Choice

$$Solve\ for\ g.$$  

$$E=fg+h$$  

• $$\frac{gh}{E}=f$$  

• $$Efh=g$$  

• $$\frac{E-h}{f}=g$$  

• $$\frac{gh}{E-f}=g$$  

​NOTES:

​

• ​When solving OR problems, simply solve the two problems and graph on one graph.

​

• ​When solving AND problems, you have to break it into TWO problems!

​

Example: -5 < 2x + 7 < 15​

​

​Break it into -5 < 2x + 7 and 2x + 7 < 15

​

Solve both problems and graph on one graph. (Graph will have two end points!)​

Multiple Choice

Solve the following inequality:

3x + 2 < −4 or 4x + 4 > 24

• x < −2 or x > 5

• x < 2 or x > 5

• x < −2 and x > 5

• x < 2 and x > 5

Multiple Choice

What inequality is graphed?

• 2 < x ≤ -3

• 2 < x < -3

• x ≤ -3 or x > 2

• x > 2 or x < -3

Multiple Choice

-2 < x - 9 < 3

• x < -12 and x > 2

• x > -3 and x < 6

• x > 7 and x < 12

• x > 4 or x < 16

Multiple Choice

Which inequality below matches the graph.

(You will probably want to break two of the choices into two problems.)

(Look at the choices carefully!)

• -2 ≤ x < 5
• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5
• -2 ≤ x ≤ 5