24
1 answer:
Answer:
Inequality Form: x ≤ 1
Interval Notation: (−∞, 1]
Step-by-step explanation:
24 ≤ 8 (7 − 4x)
Rewrite so x is on the left side of the inequality.
8 (7 − 4x) ≥ 24
Divide each term by 8 and simplify.
Divide each term in 8 (7 − 4x) ≥ 24 by 8.
8 (7 − 4x)/8 ≥ 24/8
Cancel the common factor of 8.
7 − 4x ≥ 24/ 8
Divide 24 by 8.
7 − 4x ≥ 3
Move all terms not containing x to the right side of the inequality.
−4x ≥ −4
Divide each term by −4 and simplify.
x ≤ 1
The result can be shown in multiple forms.
Inequality Form: x ≤ 1
Interval Notation: (−∞, 1]
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It is given that:
Monthly Rent = A
Total Money Paid to Landlord = Y
The landlord requires initial payment to include:
- 1st month's rent
month's rent or 50% of monthly rent for Security Deposit
- 40% of monthly rent for utility bills
- 5% of monthly rent for health club
- 13% of monthly rent per person for other services
Also, Total Amount Paid to the Landlord = $2574
Number of People Sharing the Apartment = 3
Basis the above information,
Y = (100% * A) + (50% * A) + (40% * A) + (5% * A) + (13% * A * 3)
⇒ Y = A + (0.5 * A) + (0.4 * A) + (0.05 * A) + (0.39 * A)
⇒ Y = A + (0.5 * A) + (0.4 * A) + (0.05 * A) + (0.39 * A)
⇒ Y = 2.34 * A
Substituting the value of Y to determine A
⇒ 2,574 = 2.34 * A
⇒ A = 1,100
Hence, the monthly rent is $1,100