Question

Cindy has $20 to spend at the store. She buys a pack of colored pencils that cost $4 and jelly beans that cost $2 per pound. If she spends more than $8 at the store, graph a compound inequality that shows the possible number of pounds of jelly beans she could have purchased.

a) 4 < x ≤ 8
b) 2 ≤ x < 8
c) x > 8
d) x ≤ 8

Answer 1

To find the possible number of pounds of jelly beans Cindy could have purchased, set up a compound inequality using the given information. The compound inequality is 2 < x.

Step-by-step explanation:

To find the possible number of pounds of jelly beans Cindy could have purchased, we need to use the information given and set up a compound inequality. The amount of money she spent at the store is the cost of colored pencils plus the cost of jelly beans. Let x represent the number of pounds of jelly beans she purchased. The compound inequality should indicate that the amount she spent is greater than $8:

$4 + $2x > $8

Next, we can solve the inequality:

$4 + $2x > $8

$2x > $8 - $4

$2x > $4

x > 2

So the compound inequality that shows the possible number of pounds of jelly beans Cindy could have purchased is:

2 < x