Inequalities
Solve:
7x + 3 < 2x - 7
x < -2
Solve:
|x| = 5
x = -5, 5
Solve:
2r - 3 ≤ 2(r - 4)
No Solution!
Solve:
6/(5n) = 2/5
n = 3
What is 23% of 140?
32.2
Solve:
-3(x - 4) < 2(3x - 1)
x > 14/9
Solve:
|2x - 5| = 3
x = 1, 4
131.84 is what percent of 64?
206%
Solve:
10/(p + 2) = 4/3
p = 11/2
8.4 is what percent of 48?
17.5%
Solve:
120 < 20x - 40 ≤ 160
8 < x ≤ 10
Solve:
|3x| + 2 = 20
x = -6, 6
Solve:
2|3x| + 4 = -2
No solution!
m/8 = (m + 7)/9
m = 56
77 is 22% of what number?
350
Solve the compound inequality.
-3x - 2 ≥ -8 OR 3x + 4 > 13
x ≤ 2 OR x > 3
Solve:
|2x - 3| ≤ 5
-1 ≤ x ≤ 4
A video game that originally costs $60 is on sale for 15% off. What is the cost of the video game now? (Round to the nearest cent)
$51
Discount: 15% of 60 is 9
60 - 9 = 51
9/4 = (r - 10)/r
r = -8
120% of 118 is what number?
141.6
Solve:
4x - 1/2 ≤ -2 + x/3
x ≤ -9/22
Solve:
|3x + 4| - 5 > 0
x < -3 OR x > 1/3
Solve:
|h/7 + 22| > 20
h < -294 OR h > -14
Noah bought two heads of cabbage for $1.80. How many heads of cabbage can Jackson buy if he has $28.80?
32 heads of cabbage
A concert hall has 400 seats. Currently, 325 are occupied. What percent of the seats are occupied?
81.25%