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Which of the following gives all values ...

Which of the following gives all values of j that satisfy the inequality `3j-4 le6j+11`?

A

`jle-5`

B

`jge-5`

C

`jle5`

D

`jle-5`

Text Solution

Verified by Experts

The correct Answer is:
B
Difficult:Easy:
Category: Heart of Algebra/ Inequalities
Strategic Advice: When an equilitiy has only one variable, straighforward algebra is the best route to the answer.
Getting to the Answer: Solve for j by moving the variable terms to one side of the equality and the constants to the other, remembering to flip the inequality symbol if yuo multiply or divide by a negative number:
`3j-4le6j+11`
`-3jle15`
`(-3j)/(-3)ge(15)/(-3)`
`jge-5`
(B) is the correct answer.
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