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

Question

Mathematics

Madeleine Buchanan

28 November, 00:38

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

+3

Answers (2)

Know the Answer?

Trinity Mayo · Answer 1

B) x - 22 ≥ 28; x ≥ 50

Step-by-step 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.

Jack Bush · Answer 2

B

Step-by-step explanation:

spent 22 - --> x - 22.

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

SOLVE:

x - 22 > = 28

x > = 50

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 ≤ 72B) x - 22 ≥ 28; x ≥ 50C) x - 22 > 28; x > 50D) x + 22 ≥ 28; x ≥ 72

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