Question

Which of the inequalities represents the statement, "two times a number x, less 15, is greater than or equal to 4 times the number y"?

Answer 1

we know that

1) The expression "two times a number x, less
`15`", represent the equation

`2x-15`

2) The expression "
`4` times the number y", represent the equation

`4y`

3) The expression "is greater than or equal to", represent the symbol

`\geq`

so

4)The complete expression "two times a number x, less
`15`, is greater than or equal to
`4` times the number y", represent the inequality

`2x-15\geq 4y`

using a graphing tool

see the attached figure

The solution is the shaded area below the full line

The answer is

`2x-15\geq 4y`

Answer 2

The choices are:

A)
2x - 15 ≤ 4y


B)
2x - 15 ≥ 4y


C)
15 - 2x ≤ 4y


D)
15 - 2x ≥ 4y

Therefore, the best and most correct answer among the choices provided by the question is the fourth choice "15 - 2x ≥ 4y". I hope my answer has come to your help. God bless and have a nice day ahead!