Literal Equations and Inequalities

-p − 4p > -10

• p > -2

• p > 2

• p < -2

• p < 2

Describe the solution set:

2(x + 5) < 2x + 5

• one solution

• no solution

• infinitely many solutions

• two solutions

Solve:
7(x + 3) < 5x + 13

• x>-4

• x < 17

• x<-4

• x > -17

Solve the inequality.
- 3(9 + x) ≥ - 21

• x ≤ 2

• x ≥ 2

• x ≥ - 2

• x ≤ - 2

Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.

• 25 - 2.5d > 50 - 3.25d

• 25 - 2.5d < 50 - 3.25d

• 25 + 2.5d > 50 + 3.25d

• 25 + 2.5d < 50 + 3.25d

Write the phrase as an expression.
twice a number x plus 8 is greater than 12

• 2 + 8x < 12

• 2x + 8 > 12

• 2(x+8) ≠ 12

• 8(2+x) 

Solve the Equation:
12.5 -4g = -2g - 3.5

• g = -8

• g = 10

• g = 8

• g = 1.25

Solve the Equation:
^{1/4 - 1/2r = -3/4r}

• r = 1

• r = -1

• r = 0

• r = 10

Which is the solution of 
-6a ≥ -36

• a ≥ 6

• -6 ≥ a

• a ≤ 6

• 6 ≤ a

Solve the inequality:
 -4a < 2(a + 12). 

• a > -4

• a < 4

• a > 12

• a < -4