body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Dashboard

PA

Pearson Algebra 2 Common Core, 2011 View details

3. Rational Functions and Their Graphs

Finish the assignment

Continue to next subchapter

Exercise 69 Page 523

How can you isolate x?

Inequality: x≥17 45
Graph:

Practice makes perfect

Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated.

5(x-11)+13≥ 47

SubIneq

LHS-13≥RHS-13

5(x-11)≥34

DivIneq

.LHS /5.≥.RHS /5.

x-11≥34/5

AddIneq

LHS+11≥RHS+11

x≥34/5+11

AddTerms

Add terms

x≥89/5

CalcQuot

Calculate quotient

x≥17 45

This inequality tells us that all values greater than or equal to 17 45 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution set on a number line. Notice that x can equal 17 45, which we show with a closed circle on the number line.