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 <= 634 where x equals the number, to
solve for the value of the number. Solve his inequality. Enter your solution with æ 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, let's isolate the variable 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.