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Sagot :
Question:
Solve for the unknown variable.
1. – 12 + e ≥ 15
2. h – 38 ≤ 80
3. 11h > 121
4. 10a ≤ - 100
5.
4
> -10
6.
14
- 4 < -12
7.
75
≤ -100
8. 15x – 4 > 11x + 16
9. 5x + 7 < 3 (x + 1)
10. 4 (8 + 6y) > 2(9y – 12)
Answer:
1. -12 + e ≥ 15
add 12 to both sides,
-12 + e ≥ 15
-12 + e +12 ≥ 15 +12
e ≥ 27
2. h - 38 ≤ 80
add 38 to both sides,
h - 38 +38 ≤ 80 +38
h ≤ 118
3. 11h > 121
divide both sides by 11,
11h/11 > 121/11
h > 11
4. 10a ≤ -100
10a ≤ -100
divide both sides by 10,
10a/10 ≤ -100/10
a ≤ -10
5. 4 > -10
where's the variable?
6. 14 - 4 < -12
where's the variable?
7. 75 ≤ -100
where's the variable?
8. 15x - 4 > 11x + 16
add 4 to both sides,
15x - 4 +4 > 11x + 16 +4
15x > 11x + 16 +4
15x > 11x + 20
subtract 11x to both sides,
15x -11x > 11x + 20 -11x
4x > 20
divide both sides by 4,
4x/4 > 20/4
x > 5
9. 5x + 7 < 3 (x + 1)
5x + 7 < 3x + 3
subtract 7 to both sides,
5x + 7 -7 < 3x + 3 -7
5x < 3x - 4
subtract 3x to both sides,
5x -3x < 3x - 4 -3x
2x < -4
divide both sides by 2,
2x/2 < -4/2
x < -2
10. 4 (8 + 6y) > 2(9y - 12)
32 + 24y > 18y - 24
subtract 32 to both sides,
32 + 24y -32 > 18y - 24 -32
24y > 18y - 56
subtract 18y to both sides,
24y -18y > 18y - 56 -18y
6y > -56
divide both sides by 6,
6y/6 > -56/6
y > -28/3
* as always, double check my answers for errors or carelessness.
#No to copy paste solution
#No to plagiarism
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