# SOLUTION: If b < 2 and 2x – 3b = 0, which of the following MUST BE TRUE? (1)x > -3 (2) x < 3 (3) x < 2 (4) x > 3

Algebra ->  Algebra  -> Inequalities -> SOLUTION: If b < 2 and 2x – 3b = 0, which of the following MUST BE TRUE? (1)x > -3 (2) x < 3 (3) x < 2 (4) x > 3       Log On

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 Click here to see ALL problems on Inequalities Question 305873: If b < 2 and 2x – 3b = 0, which of the following MUST BE TRUE? (1)x > -3 (2) x < 3 (3) x < 2 (4) x > 3 Answer by Fombitz(13828)   (Show Source): You can put this solution on YOUR website!Let's assume that b was very close to 2. Make it equal to 2 and solve for x. However b will never equal 2, so x will be very close to 3. When b=0, x=0. The solution set includes 0 and a number very close to 3. So then x will always be less than 3. 2) x<3