How do you solve for b given #6+b<8 or b+6 \ge 6#?

Answer 1

#b<2# or #b>=0#

Let's look at the first inequality #6+b<8#. We solve inequalities similarly to equations: #6+b<8# Now we subtract #6# from both sides of the inequality: #b < 2#

Now the second inequality: #b+6>=6# #b>=0#

OR means that you satisfy either equation. So the answer is #b<2# or #b>=0#.

Hope this helps!

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Answer 2

Abigail Allen

To solve for ( b ), you can approach each inequality separately.

For the first inequality ( 6 + b < 8 ):

Subtract 6 from both sides to isolate ( b ).
( b < 2 )

For the second inequality ( b + 6 \geq 6 ):

Subtract 6 from both sides to isolate ( b ).
( b \geq 0 )

So, the solutions for ( b ) are ( b < 2 ) and ( b \geq 0 ).

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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 for b given #6+b&lt;8 or b+6 \ge 6#?

How do you solve for b given #6+b<8 or b+6 \ge 6#?