by 
MaQuel
ANSWERS: 4
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I would just start listening in class.
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I agree with Kgsult . The current problem would give you w<4, which means for all values of w<4, the equation holds good. But listen to the class and learn the basics.
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Algebra is cool.
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It's an inequality. (Note: you may have stated the question wrong it's strange to see both 5w AND w on the left side) Simplify both sides: 4w + 8 > 6w Now I can still add and subtract from both sides, as with an equation. Need to be careful about multiplying and dividing: multiplying by a negative number would reverse the inequality. If 4w + 8 > 6w then 8 > 2w 2w < 8 (swap round) w < 4 (Dividing by +2 is ok) Check by substituting 3 4 and 5 for w in the original problem. w=3 (should be ok according to w<4) left side =15-(-5) = 20 right side = 9+3*(2*3-3) = 18 20 > 18 true. tick w=4 (should be false according to w<4) left side = 20-(4-8)=20+4 = 24 right side = 9+3*(8-3)= 9+15 = 24 24 > 24 is false. that's expected. w=5 (should be false according to w<4) left side = 25-(5-8)=28 right side = 9+3*(10-3) = 30 28 > 30 is false. that's expected.
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