Section 6.1 Solving Inequalities Using Addition or Subtraction

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Presentation transcript:

Section 6.1 Solving Inequalities Using Addition or Subtraction Goal: Solve & graph one-step inequalities in one variable using addition or subtraction.

Inequalities– An expression stating that two algebraic expressions are not necessarily equal. > greater than < less than ≤ less than or equal ≥ greater than or equal ≠ not equal to Gets an open circle ○ Gets a closed circle ●

Solve by Adding Solve s – 12 > 65. Check your solution. s – 12 > 65 Original inequality s – 12 + 12 > 65 + 12 Add 12 to each side. s > 77 Simplify. Check To check, substitute 77, a number less than 77, and a number greater than 77. Answer: The solution is the set {all numbers greater than 77}.

Solve by Subtracting TEMPERATURE By 5:00 P.M. the temperature in Fairbanks had risen 23 degrees to a temperature that is now less than 14°F. What was the temperature at the beginning of the day? t + 23 < 14 Original inequality t + 23 – 23 < 14 – 23 Subtract 23 from each side. t < –9 Simplify. Answer: The solution set is {x | x < –9}.

Homework Assignment #29 6.1 Practice A Sheet