Question

Suppose you had x dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that represents this situation.

A) x + 22 ≤ 28 ; x ≤ 72

B) x - 22 ≥ 28 ; x ≥ 50

C) x - 22 > 28 ; x > 50

D) x + 22 ≥ 28 ; x ≥ 72

Answer 1

B

Explanation:

spent 22 ---> x - 22.

at least 28 left ---> (x - 22) >= 28

SOLVE:

x - 22 >= 28

x >= 50

Answer 2

B) x - 22 ≥ 28 ; x ≥ 50

Explanation:

Given,

The original amount in the bank = x dollars,

After spending $ 22,

Remaining amount = ( x - 22 ) dollars,

∵ Remaining amount must be at least $ 28,

⇒ x - 22 ≥ 28

Which is the required inequality,

Add 22 both sides,

x -22 + 22 ≥ 28 + 22

x ≥ 50

Hence, option B is correct.