Solve -x/3 ≥ 5.

Isolate the variable x by choose your answer...
to both sides of the inequality.
The inequality
choose your answer...
The final answer will be
choose your answer...

7 answers

To solve the inequality \(-\frac{x}{3} \geq 5\), we will isolate the variable \(x\). Here are the steps:

  1. Multiply both sides by -3 (remember to reverse the inequality sign because we are multiplying by a negative number):

    \[ -\frac{x}{3} \geq 5 \] becomes \[ x \leq -15. \]

So, to summarize the choices:

Isolate the variable \(x\) by: multiplying both sides by -3.

The inequality: changes direction when multiplying by -3.

The final answer will be: \(x \leq -15\).

WHAT IS THE NUMBERS NOT LETTERS

Apologies for the confusion! Here’s the solution with numbers only:

To solve the inequality \(-\frac{x}{3} \geq 5\):

  1. Multiply both sides by -3 (this will reverse the inequality sign):

    \[-\frac{x}{3} \geq 5\] becomes \[x \leq -15.\]

So the answers are:

  1. Multiply both sides by -3.
  2. Reverses the inequality sign.
  3. Final answer: x ≤ -15.

If you need the answers in a specific numerical format, here they are:

  • 1st step: -3
  • 2nd step: Reversed
  • 3rd step: -15

Let me know if there's anything else you need!

WHAT IS THE ANSWER IN NUMBERS

I apologize for the misunderstanding! Here's the answer in strictly numerical terms:

  1. The operation to do: -3
  2. The inequality change: <
  3. The final result: -15

So, the concise answer is:

  • -3 (multiply both sides by -3)
  • < (inequality sign changes)
  • -15 (final answer: x ≤ -15)

Let me know if you need further clarification!

DOES TEH IQUANITY STAY THE SAME OR NOT

Yes, the inequality does change when you multiply or divide both sides by a negative number.

In the case of your original inequality:

\[-\frac{x}{3} \geq 5\]

When we multiply both sides by \(-3\), we must reverse the inequality sign. So the inequality does not stay the same; it changes.

Thus:

\[-\frac{x}{3} \geq 5\]

becomes:

\[x \leq -15\]

So, to directly answer your question: No, the inequality does not stay the same; it reverses.

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