Inequalities
Solve the inequality.
1) 20x + 30 > 5(3x - 1)
A) {x x ≤ -7}
-10
-9
-8
-7
-6
-5
-4
-9
-8
-7
-6
-5
-4
-9
-8
-7
-6
-5
-4
-9
-8
-7
-6
-5
-4
13
14
15
16
17
18
7
8
9
10
11
12
13
14
15
16
17
18
7
8
9
10
11
12
B) {x x ≥ -7}
-10
C) {x x > -7}
-10
D) {x x < -7}
-10
2) -7x + 3 > -8x + 12
A) {x x ≥ 15}
12
B) {x x > 9}
6
C) {x x ≤ 15}
12
D) {x x < 9}
6
3) -5 <
x
2
A) {x x < -10}
-13
-12
-11
-10
-9
-8
-7
-12
-11
-10
-9
-8
-7
-12
-11
-10
-9
-8
-7
-12
-11
-10
-9
-8
-7
B) {x x > -10}
-13
C) {x x ≥ -10}
-13
D) {x x ≤ -10}
-13
Solve the inequality. Express your answer using interval notation.
4) 4 < 2x ≤ 14
A) (-7, -2]
-11 -10 -9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
B) [2, 7)
-2
-1
0
1
2
3
4
5
6
7
8
9
10 11
-1
0
1
2
3
4
5
6
7
8
9
10 11
-11 -10 -9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
C) (2, 7]
-2
D) [-7, -2)
2
5) 19 ≤ 5x + 4 ≤ 29
A) (-5, -3)
-11 -10 -9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
-1
0
1
2
3
4
5
6
7
8
9
10 11
-11 -10 -9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
0
1
2
3
4
5
6
7
8
9
10 11
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
-1
0
1
2
3
4
5
6
7
8
9
10 11
-1
0
1
2
3
4
5
6
7
8
9
10 11
-11 -10 -9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
B) (3, 5)
-3
-2
C) [-5, -3]
3
D) [3, 5]
-3
-2
-1
6) -34 ≤ -5x - 4 < -14
A) (-6, -2]
-11 -10 -9
3
B) [2, 6)
-3
-2
C) (2, 6]
-3
-2
D) [-6, -2)
3
7) -19 ≤ -3x + 2 ≤ -10
A) (-7, -4)
-12 -11 -10 -9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
B) [4, 7]
-1
0
1
2
3
4
5
6
7
8
9
10 11 12
0
1
2
3
4
5
6
7
8
9
10 11 12
-12 -11 -10 -9
-8
-7
-6
-5
-4
-3
-2
-1
C) (4, 7)
-1
D) [-7, -4]
8) 0 ≤
-5
0
1
3x + 1
<3
2
-4
A) [-
-3
-1
0
1
2
3
4
5
1 5
, ]
3 3
-5
C) (-
-2
-4
B) (-
-3
-2
-1
0
1
2
3
4
5
1 5
, ]
3 3
-5
-4
-5
D) [-
-3
-2
-1
0
1
2
3
4
5
1 5
, )
3 3
-4
-3
-2
-1
0
1
2
3
4
5
-3
-2
-1
0
1
2
3
4
5
1 5
, )
3 3
-5
-4
Solve the inequality.
9) 7x > 84
A) {x x ≤ 12}
8
9
10
11
12
13
14
15
10
11
12
13
14
15
10
11
12
13
14
15
10
11
12
13
14
15
1
2
3
4
5
6
3
4
5
6
7
8
3
4
5
6
7
8
1
2
3
4
5
6
B) {x x < 12}
8
9
C) {x x ≥ 12}
8
9
D) {x x > 12}
8
9
10) 4x + 2 + 7x < 2 + 9x + 6
A) {x x < 3}
0
B) {x x > 5}
2
C) {x x < 5}
2
D) {x x > 3}
0
11) -3x + 12 ≤ -4x + 14
A) {x x < -3}
-6
-5
-4
-3
-2
-1
0
0
1
2
3
4
5
0
1
2
3
4
5
-5
-4
-3
-2
-1
0
-5
-4
-3
-2
-1
0
-5
-4
-3
-2
-1
0
-5
-4
-3
-2
-1
0
-5
-4
-3
-2
-1
0
B) {x x ≤ 2}
-1
C) {x x ≥ 2}
-1
D) {x x > -3}
-6
12) -24x + 20 ≤ -4(5x - 8)
A) {x x ≥ -3}
-6
B) {x x < -3}
-6
C) {x x > -3}
-6
D) {x x ≤ -3}
-6
13) -8x + 2 + 3x < 4 - 7x + 6
A) {x x > 6}
3
4
5
6
7
8
9
2
3
4
5
6
7
2
3
4
5
6
7
4
5
6
7
8
9
-9
-8
-7
-6
-5
-4
-9
-8
-7
-6
-5
-4
-9
-8
-7
-6
-5
-4
-9
-8
-7
-6
-5
-4
B) {x x > 4}
1
C) {x x < 4}
1
D) {x x < 6}
3
14) -2(3y - 1) < -8y - 12
A) {y y > -7}
-10
B) {y y -7}
≤
-10
C) {y y < -7}
-10
D) {y y ≥ -7}
-10
15) -18x - 3 ≤ -3(5x - 5)
A) {x x > -6}
-9
-8
-7
-6
-5
-4
-3
-8
-7
-6
-5
-4
-3
-8
-7
-6
-5
-4
-3
-8
-7
-6
-5
-4
-3
-4
-3
-2
-1
0
1
-4
-3
-2
-1
0
1
-4
-3
-2
-1
0
1
-4
-3
-2
-1
0
1
B) {x x ≤ -6}
-9
C) {x x < -6}
-9
D) {x x ≥ -6}
-9
16) 42x + 6 ≤ 6(6x - 1)
A) {x x < -2}
-5
B) {x x -2}
≥
-5
C) {x x > -2}
-5
D) {x x ≤ -2}
-5
Answer Key
Testname: EX 7 INEQ
1) C
2) B
3) B
4) C
5) D
6) C
7) B
8) D
9) D
10) A
11) B
12) A
13) C
14) C
15) D
16) D