Question

Which inequality represents all the values of x for which y < -6(x - 18) - 2 when y is greater than or equal to 467?

A) y ≥ -6(x - 18) - 2, y ≥ 467
B) y > -6(x - 18) - 2, y ≥ 467
C) y > -6(x - 18) - 2, y > 467
D) y ≤ -6(x - 18) - 2, y ≥ 467

Answer 1

The inequality that represents all values of x where y is less than -6(x - 18) - 2 and y is greater than or equal to 467 is B) y > -6(x - 18) - 2, y ≥ 467.

Step-by-step explanation:

The student is asking which inequality represents all the values of x for which y is less than -6(x - 18) - 2 when y is greater than or equal to 467. Since we are given that y is greater than or equal to 467, the correct part of the inequality dealing with y alone should be y ≥ 467. However, the first part of the inequality deals with y being less than the given expression, -6(x - 18) - 2. Therefore, we need an inequality that respects both conditions: y must be less than -6(x - 18) - 2 but at the same time greater than or equal to 467.

The correct answer is B) y > -6(x - 18) - 2, y ≥ 467, this represents all the values for x that satisfy the original statement that y is less than -6(x - 18) - 2 while being greater than or equal to 467.