How do you solve #6 + t - 8 >= -7#?

Answer 1

Eva Adamson

See a solution process below:

First, group and combine like terms on the left side of the inequality:

#6 + t - 8 >= -7#

#t + 6 - 8 >= -7#

#t + (6 - 8) >= -7#

#t + (-2) >= -7#

#t - 2 >= -7#

Now, add #color(red)(2)# to each side of the inequality to solve for #t# while keeping the inequality balanced:

#t - 2 + color(red)(2) >= -7 + color(red)(2)#

#t - 0 >= -5#

#t >= -5#

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Answer 2

Eva Abramson

To solve ( 6 + t - 8 \geq -7 ), first, simplify the left side by combining like terms: ( -2 + t \geq -7 ). Then, add 2 to both sides to isolate ( t ): ( t \geq -7 + 2 ). Finally, simplify: ( t \geq -5 ). So, the solution is ( t \geq -5 ).

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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 #6 + t - 8 &gt;= -7#?

How do you solve #6 + t - 8 >= -7#?