Jessique sells handbags for $50 each. She sends $4 per handbag for materials in $1000 to rent a story each month. If she sells x handbags, write and solve an inequality that shows what she has to sell to earn at least $2000 in one month.

Step-by-step explanation:

Let x represent the number of handbags that she sells for a month.

She spends $4 per handbag for materials and $1000 to rent a store each month. This means that the total amount that she spends in selling x handbags in a month is

4x + 1000

Jessique sells handbags for $50 each. This means that the total amount that she makes for selling x handbags in a month is 50x

To earn at least $2000 in one month, the inequality that shows what she has to sell is

50x - (4x + 1000) ≥ 2000

50x - 4x - 1000 ≥ 2000

46x ≥ 2000 + 1000

46x ≥ 3000

x ≥ 3000/46

x ≥ 65.21

Since the number of handbags sold must be whole number, she must sell at least 66 handbags in a month.