SOLUTION: Write an inequality for the statement. Solve the inequality: The sum of half a number and two-thirds of the number is less than 14.

Question 223288: Write an inequality for the statement. Solve the inequality:
The sum of half a number and two-thirds of the number is less than 14.
Found 2 solutions by checkley77, rfer:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
X/2+2X/3<14
(3X+2*2X)/2*3<14
(3X+4X)/6<14
7X<14*6
7X<84
X<84/7
X<12 ANS.
pROOF:
lET X=11.9
11.9/2+2*11.9/3<14
5.95+23.8/3<14
5.95+7.9333<14
13.8833<14

Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
1/2x+2/3x<14
3/6x+4/6x<14
7/6x<84/6
x<504/42
x<12
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