Question

Alan is having a party and he must stay under 100 invites. He wants to buy 2 boxes of matching invitations and an extra z personalized invitations. Which of the following inequalities best represents the number of matching invites, x, each box could hold if Alan stays within his limit?

1) 2x + z ��� 100
2) 2x + z < 100
3) 2x - z ��� 100
4) 2x - z < 100

Answer 1

The correct inequality to represent the number of matching invites, x, each box could hold if Alan stays within his limit is 2x + z < 100.

Step-by-step explanation:

The correct inequality to represent the number of matching invites, x, each box could hold if Alan stays within his limit is 2x + z < 100.

This inequality states that the sum of twice the number of matching invites, x, and the number of personalized invitations, z, must be less than 100.

For example, if Alan buys two boxes of matching invitations, each box can hold x invitations. If he also wants to buy z personalized invitations, the total number of invitations must be less than 100.