Eleven and a half is added to the product of a number and five. This sum is no more than six-hundred thirty-four. Niles writes the inequality 5x+11 1/2 is less than 634, where x equals the number to solve for the value of the number. Solve his inequality. Enter your solution with x first. If there are any non-integer values in your solution, write them as mixed numbers
To solve the inequality 5x + 11 1/2 < 634, we need to isolate x.
First, subtract 11 1/2 from both sides of the inequality:
5x < 634 - 11 1/2
5x < 622 1/2
Next, divide both sides of the inequality by 5:
x < (622 1/2) / 5
x < 124 1/2
Therefore, the solution to the inequality is x < 124 1/2.