Solving inequalities for word problems:
twice a number plus 10 is greater than three times that number less 4. what is the number?

For this case we have to:

x: Let the variable representing the unknown number

We algebraically rewrite the given expression:

Twice a number plus 10, is represented as:

Three times that number less 4. is represented as:

Thus, the complete expression is:

Subtracting 3x from both sides of the inequality:

Subtracting 10 from both sides of the inequality:

Equal signs are added and the same sign is placed:

We multiply by -1 on both sides, taking into account that the sense of inequality changes:

The solution is given by all values of "x" less than 14.

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step-by-step explanation:

step-by-step explanation:

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