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For how many integers will 4x+12 be greater than 10 and less than 210?

User Pok
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Final answer:

To find the number of integers that make the expression 4x+12 greater than 10 and less than 210, set up and solve the inequality -0.5 < x < 49.5.

Step-by-step explanation:

To determine how many integers will make the expression 4x+12 greater than 10 and less than 210, we can set up the following inequality:

10 < 4x+12 < 210

Subtract 12 from all parts of the inequality:

-2 < 4x < 198

Divide all parts of the inequality by 4:

-0.5 < x < 49.5

The solution is all the integers between -1 and 49, excluding -1 and 49. Therefore, there are 47 integers that satisfy the inequality.

User Bmaddy
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