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

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Answer 1 · 2017-06-29T13:39:02

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#