Exercise 31 Page 503

Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated. Let's use the Subtraction Property of Inequality to solve the inequality.

- 7/8 ≤ n + 3 516

SubIneq

LHS-3 516≤RHS-3 516

- 7/8 - 3 516 ≤ n + 3 516 - 3 516

ExpandFrac

a/b=a * 2/b * 2

- 14/16 - 3 516 ≤ n + 3 516 - 3 516

SubTerms

Subtract terms

- 3 1916≤ n

WriteDiff

Write as a difference

- 3 - 16/16 - 3/16≤ n

CalcQuot

Calculate quotient

- 3 - 1 - 3/16≤ n

SubTerms

Subtract terms

- 4 316≤ n

RearrangeIneq

Rearrange inequality

n ≥ - 4 316

The above tells us that all values of n that are greater than or equal to - 4 316 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution set on a number line. Notice that n can equal - 4 316, which we show with a closed circle on the number line.