SOLUTION: The product of 4 and a number, decreased by 6, is at least the sum of 8 and twice the number. Write and solve an inequality to find the numbers that satisfy this condition.

Algebra ->  Inequalities -> SOLUTION: The product of 4 and a number, decreased by 6, is at least the sum of 8 and twice the number. Write and solve an inequality to find the numbers that satisfy this condition.      Log On


   

Question 1167831: The product of 4 and a number, decreased by 6, is at least the sum of 8 and twice the number. Write and solve an inequality to find the numbers that satisfy this condition.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by ikleyn(52788) About Me  (Show Source):
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The correct inequality is  THIS 

    4x - 6 >= 2x + 8

Notice the sign   " >= ".

The solution is 

    4x - 2x >= 8 + 6

    2x      >= 14

     x      >= 14/2 = 7.


ANSWER.   x >= 7.