Questions: Solve the inequality. -8 ≤ 8+y The solution is □ Graph the solution.

Solve the inequality. -8 ≤ 8+y The solution is □ Graph the solution.
Transcript text: Solve the inequality. \[ -8 \leq 8+y \] The solution is $\square$ Graph the solution.
failed

Solution

failed
failed

Solution Steps

Step 1: Subtract 8 from both sides

To isolate the variable \(y\), subtract 8 from both sides of the inequality: \[-8 - 8 \leq 8 + y - 8\] \[-16 \leq y\]

Step 2: Rewrite the inequality

The inequality \(-16 \leq y\) can be rewritten as \(y \geq -16\).

Step 3: Graph the solution

The solution \(y \geq -16\) represents all values of \(y\) that are greater than or equal to -16. On the number line, this is represented by a closed circle at -16 (because -16 is included in the solution) and an arrow pointing towards positive infinity (to the right).

Final Answer

The solution is \( \boxed{y \geq -16} \). The graph starts with a closed circle at -16 on the number line and extends to the right.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
What is also known as a personal blueprint for success? Select one: a. First Creation b. Personal Mission Statement c. Personal Goal Setting d. Vision Agreement
failedAnswered
Women in colonial America had different expectations and statuses. - In society, White women were expected to assist with household duties and raise children.
failedAnswered
34° 58′ lat. S y 71° 14′ long. O / 225 m . s . n . m. E F M A M J J A S O N D 19,9 18,9 15,9 12,1 9,5 7,4 7,2 8,2 10,1 13,0 15,9 18,7 3,8 0,7 15,0 32,2 109,8 148,6 166,1 98,3 56,6 35,7 23,3 11,8
failedAnswered
How do the liver and gallbladder function together in the process of digestion?
failedAnswered
March 5: Miriam pays a monthly start up loan of 10,000, 100 per month payable on the 4th day of the month COGS 100 Fixed Cost 10,000 Fixed Cost 100 Variable Cost 100