Question

205 less a number is greater than or equal to 112. What could that number be?

A. x≤93
B. x≥317
C. x≥293
D. x≤317

Answer 1

The inequality 205 less a number is greater than or equal to 112 translates to '205 - x >= 112' and simplifies to 'x ≤ 93', therefore the number could be 93 or less.

Step-by-step explanation:

The student has asked for the solution to the inequality '205 less a number is greater than or equal to 112'. To solve this we can set up the inequality as 205 - x ≥ 112 and solve for x:

1. Subtract 205 from both sides of the inequality: -x ≥ 112 - 205
2. Simplify the right side: -x ≥ -93
3. Because we have a negative x, when we divide both sides by -1 to solve for x, we must remember to reverse the inequality: x ≤ 93

So, the number could be 93 or less to satisfy the inequality, which matches option A.