How do you solve and write the following in interval notation: #-4 ≥ m/-1#?

1 Answer
smendyka
Jul 6, 2017

See a solution process below:

Explanation:

Multiply each side of the inequality by #color(blue)(-1)# to solve for #m# while keeping the inequality balanced. However, because we are multiplying or dividing an inequality by a negative number we need to reverse the inequality operator:

#color(blue)(-1) xx -4 color(red)(<=) color(blue)(-1) xx m/-1#

#4 color(red)(<=) cancel(color(blue)(-1)) xx m/color(blue)(cancel(color(black)(-1)))#

#4 color(red)(<=) m#

To state the solution in terms of #m# we can reverse or "flip" th entire inequality:

#m >= 4#

In interval notation:

#[4, +oo)#

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