Question Prompt: question_prompt: What is the value of v if −129≤3(−6v+5)?
Distribute and Simplify: Distribute 3 to both terms inside the parentheses. −129≤3(−6v)+3(5)
Subtract to Isolate Variable: Simplify the inequality. −129≤−18v+15
Combine Like Terms: Subtract 15 from both sides to isolate the variable term. −129−15≤−18v
Divide and Solve: Combine like terms on the left side. −144≤−18v
Final Value of v: Divide both sides by −18 to solve for v, remembering to flip the inequality sign because we're dividing by a negative number. −144/−18≥v
Final Value of v: Divide both sides by −18 to solve for v, remembering to flip the inequality sign because we're dividing by a negative number. −144/−18≥v Simplify the division to find the value of v. 8≥v
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