Solve And Show How 3(2x+5)>2(x-1)+3?
Answer:
3(2x+5) > 2(x-1) + 3 (your inequality)
6x+15 > 2x-2 + 3 (use the distributive property to eliminate the parentheses)
4x + 15 > 1 (subtract 2x from both sides)
4x > -14 (subtract 15 from both sides)
x > -14/4 (divide both sides by 4)
x > -7/2 (reduce the fraction)
Check
Choose a number greater than - 3 1/2, say -3 1/4 = -13/4.
3(2(-13/4)+5) > 2((-13/4)-1) + 3
3(-26/4 + 20/4) > 2(-13/4 - 4/4) + 3
3(-6/4) > 2(-17/4) + 3
-18/4 > -34/4 + 12/4
-18/4 > -22/4 (yes)
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