SOLUTION: I'm confused to how to set this question up as an inequality. -Keith weighs 200 pounds. He wants to weigh less than 175 pounds. If he can lose an average of 2 pounds per week on

Algebra ->  Inequalities -> SOLUTION: I'm confused to how to set this question up as an inequality. -Keith weighs 200 pounds. He wants to weigh less than 175 pounds. If he can lose an average of 2 pounds per week on      Log On


   

Question 25651: I'm confused to how to set this question up as an inequality.
-Keith weighs 200 pounds. He wants to weigh less than 175 pounds. If he can lose an average of 2 pounds per week on a certain diet, how long should he stay on his diet to reach his goal weight?
Found 3 solutions by stanbon, Shin123, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let number of diet weeks be "x"
He wants his weight to be less that 175.
EQUATION:
200-2x<175
25-2x<0
25<2x
x>12.5
so, he needs to diet more than 12.5 wee,s.
Cheers,
Stan H.

Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
175%3E174
200-174=26 Keith must weigh 174%3E=x
26%2F2=13 He must be on a diet for 13 weeks to achieve his goal.

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
Set up this question as inequality in this way: 

    Find the number of weeks "w" from the inequality  200-2w < 175.