Linear Inequalities

[kjohnny1992]

I need help.. I can't figure these out!!!
1.Solve: 7x < 28.
A. x < 21
B. x < 4
C. x > 4
D. x > 21

2.Solve: 7.5 ≥ x – 3.
A. x ≤ 10.5
B. x ≤ 22.5
C. x ≥ -22.5
D. x ≥ 10.5

3.Solve: x – 3.2 < 7.
A. x < 22.4
B. x < 10.2
C. x < 3.8
D. x > -22.4

4.Solve: 3k + 5 ≤ 2(k + 1).
A. k ≤ -4
B. k ≤ -3
C. k ≥ 3
D. k ≥ 4

5.Solve: 16 < x + 5.
A. x < -11
B. x < 21
C. x > -80
D. x > 11

6.Solve: 9 ≥ 5 + x.
A. x ≤ 14
B. x ≤ 4
C. x ≥ 4
D. x ≥ 14
7.Solve: x + 3 > 11.

A. x < -33
B. x < -8
C. x > 8
D. x > 14
8.Solve: x – 10 > 19.

A. x < -19/10
B. x > -190
C. x > 9
D. x > 29
9.Solve: x – 1 – (4x + 3) < -19.

A. x < -5
B. x < 7
C. x > -7
D. x > 5
10.Solve: 4.6 ≥ x – 11.

A. x ≤ 15.6
B. x ≤ 50.6
C. x ≥ -15.6
D. x ≥ -6.4
11.Solve: -11x ≥ 99.

A. x ≤ -9
B. x ≤ 110
C. x ≥ 9
D. x ≥ 110

[Math Tutor]

I will help you solving the first two problems.

1.Solve: 7x < 28.
Solution:
7x < 28 <=> x < 28:7 <=> x < 4


2.Solve: 7.5 ≥ x – 3.
Solution:
7.5 ≥ x – 3
7.5 + 3 ≥ x
10.5 ≥ x
x ≤ 10.5