4. Solve Inequalities Using Addition or Subtraction
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What can you do to isolate a variable in an inequality?
Solution Set: x ≥ 26
Graph:
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.
LHS-21≤RHS-21
Subtract terms
Rearrange equation
The above tells us that all values of x that are greater than or equal to 26 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution set on a number line. Notice that x can equal 26, which we show with a closed circle on the number line.