-2(Given the inequality below, which statement is true?

Question 8 options:

-11 is the minimum value of p

11 is the maximum value of p

-11 is the maximum value of p

11 is the minimum value of p

-2(p-7) \leq -8

1 answer

To solve the inequality \(-2(p - 7) \leq -8\), we will first simplify it step by step.

  1. Distribute the \(-2\): \[ -2p + 14 \leq -8 \]

  2. Next, subtract 14 from both sides: \[ -2p \leq -8 - 14 \] \[ -2p \leq -22 \]

  3. Now, divide both sides by \(-2\). Remember that dividing or multiplying by a negative number reverses the inequality sign: \[ p \geq 11 \]

From this result, we can see that \(p\) has a minimum value of \(11\) (it can be equal to \(11\) or greater).

Given the options:

  • -11 is the minimum value of p
  • 11 is the maximum value of p
  • -11 is the maximum value of p
  • 11 is the minimum value of p

The correct statement is:

11 is the minimum value of p.

Similar Questions
  1. Multiple Choice QuestionAn inequality with absolute values is shown below. Which statement about the inequality is correct? A.
    1. answers icon 1 answer
  2. Select ALL options below that are true for the characteristics of 2x2−9x+4. (3 points) Responses This has a minimum at -6.125.
    1. answers icon 1 answer
  3. Compare f(x) =+ 2x + 3 to a function that has a minimum value of 2. Which statement is TRUE? Responses A The minimum value for
    1. answers icon 1 answer
    1. answers icon 1 answer
more similar questions