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What can you do to isolate a variable in an inequality?
Solution: n≥51
Graph:
Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated. The only difference is that when we divide or multiply by a negative number, we must reverse the inequality sign. Here, we will start by adding 8 to both sides of the inequality.
LHS+ 8≤RHS+ 8
Commutative Property of Addition
Add terms
Multiply by -3 and flip inequality sign
- a(- b)=a* b
Multiply
1/b* a = a/b
a/3* 3 = a
All values of n that are greater than or equal to 51 will satisfy the inequality. Now, let's graph all of the possible solutions on a number line. Notice that n can equal 51, which we show with a closed circle on the number line.