How do you solve and graph −5≤−n−6≤0?

1 Answer
smendyka
May 7, 2017

See a solution process below:

Explanation:

First, add 6 to each segment of the system of inequalities to isolate the n term while keeping the system balanced:

−5+6≤−n−6+6≤0+6

1≤−n−0≤6

1≤−n≤6

Now, multiply each segment by −1 to solve for n while keeping the system balanced. However, because we are multiplying or dividing inequalities by a negative number we need to reverse the inequality operators:

−1⋅1≥−1⋅−n≥−1⋅6

−1≥n≥−6

Or

n≤−1; n≥−6

Or, in interval notation:

[−6,−1]

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