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An illusionist needs up to 10 volunteers for a show. She 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 all inequalities that model this situation.


A- x + y < 10

B- x + y ≤ 10

C- x > 4

D- x ≥ 4

E- y > 0

G- y ≥ 0

Verified Answer :

B, D, and E are all inequalities that model the situation

The correct answers are:

B- x + y ≤ 10
; and D- x ≥ 4

Explanation:

The illusionist needs at least 4 female volunteers.  This means he could use 4 or more; this means x, the number of female volunteers, is greater than or equal to 4:

x ≥ 4

The total of number of volunteers needed is up to 10.  This means the illusionist can use 10 or fewer people; this means the total is less than or equal to 10.

The number of female volunteers is x and the number of male volunteers is y; together they create the expression x+y.  This gives us

x+y ≤ 10

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