Answer:
c > 5
Step-by-step explanation:
The properties of equality can be used to solve inequalities. Attention needs to be paid to ordering.
<h3>Application</h3>
We can subtract 3 from both sides to solve this.
c +3 > 8 . . . . . . given
c +3 -3 > 8 -3 . . . . subtract 3 from both sides
c > 5 . . . . . . . . . simplify
The solution is c > 5.
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<em>Additional comment</em>
Adding or subtracting a value to a number on a number line is equivalent to shifting it right or left. It does not change ordering.
Multiplying or dividing by a <em>positive</em> number is equivalent to expanding or compressing the distance from zero. It does not change ordering.
Multiplying or dividing by a <em>negative</em> number reflects the value across the origin, in addition to expanding or compressing the distance from zero. This reflection reverses the left-right ordering. For example, -2 < -1, but 2 > 1. (Both numbers multiplied by -1.)
As long as you're aware of the effect on ordering, you can use any of the properties of equality to solve inequalities.
