4 < 4(6y - 12) - 2y |use distributive property
4 < (4)(6y) + (4)(-12) - 2y
4 < 24y - 48 - 2y |add 48 to both sides
52 < 26y |divide both sides by 26
2 < y → y > 2
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4x + 3 < 3x + 6 |subtract 3 from both sides
4x < 3x + 3 |subtract 3x from both sides
x < 3
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-5r + 6 ≤ -5(r + 2) |use distributive property
-5r + 6 ≤ (-5)(r) + (-5)(2)
-5r + 6 ≤ -5r - 10 |add 5r to both sides
6 ≤ -10 FALSE
No solution
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-2(6 + s) ≥ -15 - 2s |use distributive property
(-2)(6) + (-2)(s) ≥ -15 - 2s
-12 - 2s ≥ -15 - 2s |add 2s to both sides
-12 ≥ -15 TRUE
All real numbers
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3s + 6 ≤ -5(s + 2) |use distributive property
3s + 6 ≤ (-5)(s) + (-5)(2)
3s + 6 ≤ -5s - 10 |subtract 6 from both sides
3s ≤ -5s - 16 |add 5s to both sides
8s ≤ -16 |divide both sides by 8
s ≤ -2
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4/3 s - 3 ?
