Solving Compound inequalities with OR

Equation 2k-5>7 OR -3k-1>8

Step one Add 5 to each number Without a variable on the left side… 2k – 5 > 7 OR -3k – 1 > 8 2k – 5 > 7 OR -3k – 1 > = = 2k > 12 2k > 12 You should get: 2k > 12

Step two Now add one to each number Without a variable on the right side…… 2k > 12 OR – 3 k – 1 > 8 2k > 12 OR – 3 k – 1 > = = - 3k > 9 - 3k > 9 You should get: - 3k > 9

Step 3 Divide by the number being multiplied to the variable….. 2k > 12 OR -3k > 9 2k > 12 OR -3k > = = 2 2 = = k > 6 OR k 6 OR k < -3 When you divide by a negative number the inequality sign FLIPS

Graphing the solution. After you solve the equations using the previous steps you should graph your equation…. k > 6 OR k 6 OR k < -3 Use the two numbers in the solution for the highest and lowest points