How do you solve #10( b - 5) \geq - 40#?

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Answer 1 · 2017-09-19T02:26:09

See a solution process below:

First, divide each side of the inequality by #color(red)(10)# eliminate the need for parenthesis while keeping the inequality balanced:

#(10(b - 5))/color(red)(10) >= -40/color(red)(10)#

#(color(red)(cancel(color(black)(10)))(b - 5))/cancel(color(red)(10)) >= -4#

#b - 5 >= -4#

Now, add #color(red)(5)# to each side of the inequality to solve for #b# while keeping the inequality balanced:

#b - 5 + color(red)(5) >= -4 + color(red)(5)#

#b - 0 >= 1#

#b >= 1#