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If xlt 5, then...

If ` xlt 5`, then

A

`-x lt -5`

B

`-x lt -5`

C

`-x gt -5`

D

`-x ge -5`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the inequality \( x < 5 \) and determine which option is correct, we can follow these steps: ### Step 1: Understand the given inequality We start with the inequality: \[ x < 5 \] ### Step 2: Multiply both sides by -1 To change \( x \) into \(-x\), we multiply both sides of the inequality by -1. Remember that when we multiply or divide both sides of an inequality by a negative number, we must reverse the inequality sign. So, multiplying both sides by -1 gives us: \[ -x > -5 \] ### Step 3: Interpret the new inequality Now we have the inequality: \[ -x > -5 \] This means that \(-x\) is greater than \(-5\). ### Step 4: Identify the correct option Now, based on the transformed inequality \(-x > -5\), we can look for the correct option among the provided choices. The correct option will be the one that represents the inequality \(-x > -5\). ### Conclusion The solution indicates that the correct option is the one that corresponds to the inequality \(-x > -5\). ---

To solve the inequality \( x < 5 \) and determine which option is correct, we can follow these steps: ### Step 1: Understand the given inequality We start with the inequality: \[ x < 5 \] ...
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