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How do you solve #abs(2b+7)<=-6#?

Answer 1

There is no solution to the inequality abs(2b + 7) ≤ -6 because an absolute value cannot be less than or equal to a negative number.

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Answer 2

Eli Assouline

See a solution explanation below:

The absolute value function takes any positive or negative number and transforms it into its positive form. The absolute value function will always return a value greater than or equal to #0#.

Therefore, there is no solution which will give a value less than or equal to #-6# which is less than #0#.

There is no solution or the solution is the null or empty set: #{O/}#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve #abs(2b+7)&lt;=-6#?

How do you solve #abs(2b+7)<=-6#?