SOLUTION: twice a number x plus 4 is at least 10 and no more than 16, for what values of x are these conditions satisfied
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Question 1092832: twice a number x plus 4 is at least 10 and no more than 16, for what values of x are these conditions satisfied Found 3 solutions by addingup, ikleyn, MathTherapy:Answer by addingup(3677) (Show Source):
10 < 2x+4 < 16.
Subtract 4 from all 3 parts of this compound inequality. You will get an equivalent compound inequality
6 < 2x < 12.
Now divide by 2 all 3 parts the last compound inequality. You will get an equivalent compound inequality
3 < x < 6.
It is your answer: The solution to the original inequality is this interval of the number line (3,6).
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twice a number x plus 4 is at least 10 and no more than 16, for what values of x are these conditions satisfied
Correct compound inequality:
Solve to get . This shows the range of values that satisfies the compound inequality.