Which value below is included in the solution set for the inequality statement?-3(x - 4) > 6(x - 1)
Question
Which value below is included in the solution set for the inequality statement?
Solution
To find the value included in the solution set for the inequality statement -3(x - 4) > 6(x - 1), we need to solve the inequality step by step.
Step 1: Distribute the -3 and 6 to the terms inside the parentheses: -3x + 12 > 6x - 6
Step 2: Combine like terms on both sides of the inequality: -3x - 6x > -6 - 12 -9x > -18
Step 3: Divide both sides of the inequality by -9. Remember that when dividing by a negative number, the inequality sign flips: x < -18 / -9 x < 2
Therefore, any value less than 2 is included in the solution set for the inequality statement -3(x - 4) > 6(x - 1).
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