QuestionWhich of the following is a solution to the inequality below?
Studdy Solution
STEP 1
What is this asking?
We need to find a value for that makes the inequality true.
Watch out!
Don't forget to flip the inequality sign if you multiply or divide both sides by a negative number!
But we won't need to do that here.
STEP 2
1. Isolate the term with .
2. Solve for .
3. Check the possible solutions.
STEP 3
We want to get by itself.
Since we have , we can subtract 5 from both sides of the inequality.
Remember, what we do to one side, we *must* do to the other!
STEP 4
Now, to get all alone, let's divide both sides by .
Since is positive, we don't need to flip the inequality sign.
This means can be any number less than or equal to .
STEP 5
Is ?
Nope! So is *not* a solution.
STEP 6
Is ?
Yes! So *is* a solution.
STEP 7
Is ?
Definitely not!
So is *not* a solution.
STEP 8
Is ?
Nope, isn't a solution either.
STEP 9
The only value from the given options that makes the inequality true is .
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