Answer:
1.) x > 6
2.) x = -23
3.) x ≥ 5
4.) x < 14
5.) x > 1
6.) x = 4
7.) x = 17
8.) x = 5
9.) x < -6
10.) x = 7
11.) x = 6
12.) x = 1
13.) x ≤ 80
14.) x = 50
15.) x = 11
Done
Step-by-step explanation:
1.) x + 11 > 17
( x + 11) + ( -11) > 17 + ( -11)
x + 11 - 11 > 17 - 11
x > 6
Answer: x > 6
2.) 5 ( x + 4 ) = 4x - 3
5x + 5 × 4 = 4x - 3
5x + 20 = 4x - 3
5x - 4x = -20 + 3
x = -23
Answer: x = -23
3.) 2x ≥ 10
2x ≥ 10
2 2
x ≥ 2 x 5
2
x ≥ 5
Answer: x ≥ 5
4.) x - 4 < 10
( x - 4 ) + 4 < 10 + 4
x < 14
Answer: x < 14
5.) x + 4 > 5
x + 4 - 4 > 5 - 4
x > 1
Answer: x > 1
6.) 6x - 5 = 19
6x - 5 + 5 = 19 + 5
6x = 24
6x = 24
6 6
x = 4
Answer: x = 4
7.) x - 5 = 12
x - 5 + 5 = 12 + 5
x = 17
Answer: x = 17
8.) 3x = 15
3x = 15
3 3
x = 5
Answer: x = 5
9.) 15 - 6x > 51
- 6x + 15 > 51
- 6x + 15 - 15 > 51 - 15
-6x > 36
-6x > 36
-6 -6
x < -6
Answer: x < -6
10.) 5x - 3 = x + 25
5x - 3 - x = x + 25 - x
4x - 3 = 25
4x - 3 + 3 = 25 + 3
4x = 28
4x = 28
4 4
x = 7
Answer: x = 7
11.) x + 3 = 9
x + 3 - 3 = 9 - 3
x = 6
Answer: x = 6
12.) x = 7 - 6x
x = 7 + -6x
x = -6x + 7
x + 6x = -6x + 7 + 6x
7x = 7
7x = 7
7 7
x = 1
Answer: x = 1
13.) x ≤ 10
8
1 ≤ 10
8
8 x ( 1 x) ≤ ( 8 ) × ( 10 )
8
x ≤ 80
Answer: x ≤ 80
14.) x = 10
5
( x ) x ( 5 ) = ( 10 ) x ( 5 )
5
x = 50
Answer: x = 50
15.) x = 5 + 6
x = 5 + 6
x = 11
Answer: x = 11
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