Question

An illusionist needs up to 10 volunteers for a show. The illusionist needs no fewer than 4 female volunteers. Let x represent the number of female volunteers and y represent the number of male volunteers. Which inequalities model the situation? Select each correct answer.

y≥0
x>4
x≥4
x+y<10
x+y≤10 answer = y≥0, x≥4, x+y≤10

Answer 1

Explanation:

Answer 2

FIRST OPTION.

THIRD OPTION.

FIFTH OPTION.

Explanation:

Let be "x" the number of of female volunteers and "y" the number of male volunteers.

You need to remember the meaning of the inequalities symbols:

`<` : Less than.

`>` : Greater than.

`\leq` : Less than or equal to.

`\geq` : Greater than or equal to.

In this case you know that the illusionist needs up to 10 volunteers, which indicates that the total number of volunteers can be less than or equal to 10 people. The inequality that represents this is:

`x+y\leq 10`

According to the exercise, the illusionist needs no fewer than 4 female volunteers. This means that number of female volunteer must be greater than or equal to 4:

`x\geq 4`

Since the number of female volunteers could be 10 (Because can be greater than 4), it could not be male volunteers. This means that:

`y\geq 0`