Question

Consider the inequality: y+14<25 Which step is needed to solve this inequality? (1 point) Responses Add 14 to both sides of the inequality. Add 14 to both sides of the inequality. Subtract 14 from both sides of the inequality. Subtract 14 from both sides of the inequality. Multiply 14 on both sides of the inequality. Multiply 14 on both sides of the inequality. Divide 14 on both sides of the inequality. Divide 14 on both sides of the inequality. Question 2 Determine the solution to the inequality.(1 point) Responses y<1.79 y<1.79 y<11 y<11 y<39 y<39 y<350 y<350 Question 3 How should the solution of the inequality be graphed?(1 point) Responses Open circle, shade right Open circle, shade right Open circle, shade left Open circle, shade left Closed circle, shade right Closed circle, shade right Closed circle, shade left Closed circle, shade left

Answer 1

Let's solve the inequality step by step:

1. Original inequality: \[ y + 14 < 25 \]

2. Determine the needed step to solve the inequality: To isolate \( y \), you need to subtract 14 from both sides of the inequality.

   • Correct step: Subtract 14 from both sides of the inequality.

3. Solve the inequality: \[ y + 14 - 14 < 25 - 14 \] \[ y < 11 \]

4. Determine the solution to the inequality:

   • Correct solution: \( y < 11 \)

5. Graphing the solution: Since the solution \( y < 11 \) is not inclusive of 11, you would use an open circle at 11 and shade to the left (representing all values less than 11).

   • Correct graphing: Open circle, shade left.

Summary of Answers:

1. Subtract 14 from both sides of the inequality.
2. \( y < 11 \)
3. Open circle, shade left.