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boyakko [2]
2 years ago
6

Solving inequalities for word problems:

Mathematics
1 answer:
zepelin [54]2 years ago
5 0

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:2x + 10

Three times that number less 4. is represented as:

3x-4

Thus, the complete expression is:

2x + 10> 3x-4

Subtracting 3x from both sides of the inequality:

2x-3x + 10> -4\\-x + 10> -4

Subtracting 10 from both sides of the inequality:

-x> -4-10

Equal signs are added and the same sign is placed:

-x> -14

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

x

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

Answer:

x

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