Q. How are the solutions to the inequality −3x≥18 different from the solutions to −3x>18 ? Explain your reasoning.
Solve Inequality −3x≥18: Step 1: Solve the inequality −3x≥18.Divide both sides by −3, remembering to flip the inequality sign because we are dividing by a negative number.−3x≥18 becomes x≤−6.
Solve Inequality −3x>18: Step 2: Solve the inequality −3x>18. Similarly, divide both sides by −3 and flip the inequality sign. −3x>18 becomes x<−6.
Compare Solutions: Step 3: Compare the solutions of x≤−6 and x<−6. The solution x≤−6 includes x=−6 and all numbers less than −6. The solution x<−6 includes only numbers less than −6, not including −6 itself.
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