Question

Determine the value of y for the inequality 3 times the quantity y plus one fourth end quantity is less than or equal to three fourths. y ≤ 0 y ≥ 0 y is greater than or equal to negative 1 over 24 y is less than or equal to negative 1 over 24

Answer 1

To solve the inequality 3(y + 1/4) ≤ 3/4, distribute 3, subtract 3/4 from both sides, and divide by 3 to find that y must be less than or equal to 0.

Step-by-step explanation:

To determine the value of y for the inequality 3 times the quantity y plus one fourth end quantity is less than or equal to three fourths, we need to solve the inequality step-by-step.

• Start with the given inequality: 3(y + 1/4) ≤ 3/4.
• Distribute the 3 to both terms inside the parentheses: 3y + 3/4 ≤ 3/4.
• Subtract 3/4 from both sides to isolate the variable term: 3y ≤ 0.
• Divide both sides by 3 to solve for y: y ≤ 0.

Therefore, the value of y for the inequality must be less than or equal to 0.