Question

Solving inequalities for word problems:

Answer 1

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:

$x$