Linear inequalities (one variable)

Solve for x.

 $\frac{x}{7}-1<1$  

• x<14

• x>14

•  $x<\frac{2}{7}$  

•  $x>\frac{2}{7}$  
  

Match the following

• x>7

• x>-11

• x<12

• x<7

• x<-2

Simplify the following compound inequality:
 $16\le2x+6<30$  

•  $x\ge5$  and  $x<12$  

•  $x\ge2$  and  $x<11$  

•  $x\ge5$  or  $x<12$  

•  $x\ge2$  or  $x<11$  

 $-8\le x\le8$  

Which number is a possible solution for this compound inequality:

• 0

• 10

• -10

• -25

 $12\left(10b-9\right)>-12\left(8b-9\right)$  

•  $b<1$  

•  $b>1$  

•  $b<0$  

•  $b>0$  

 $F\ =\ \frac{9}{5}C\ +\ 32\$  

It is recommended to store chocolate between 15 and 20 degrees Celsius. Which solution represents possible storage temperatures in Fahrenheit?

• 59 to 68 

• 49 to 58 

• 39 to 48 

• 29 to 28 

Peyton and her friends went to the movies. They must be over 16 to watch a Horror Film. Let m represent movies.

•  $m\ge16$ 

•  $m<16$ 

•  $m\le16$ 

•  $m>16$ 

At most
Adults should consume at most 2500 calories per day.

• ≥
• <
• >
• ≤

Find the solution

• $X\ \le\ 6.5$

• $X\ >2$

• $X\ \ge\ 10$

• $X\ \le\ 10$

 $-\frac{2}{3}x+4>10\ or\ -\frac{x}{5}<5$  

Graph the solution on your paper.
State the solution set in interval notation

•  $\left(-\infty,\infty\right)$  

•  $\left[-25,-9\right]$  

•  $\left(-25,-9\right)$  

•  $\left(-\infty,\ -9\right]$