Final answer:
To solve the inequality (4-x) ≤ -4(x + 2), distribute and simplify the equation before solving for x. The solution is x ≥ -4.
Step-by-step explanation:
To solve the inequality (4-x) ≤ -4(x + 2), we need to simplify and solve for x. Start by distributing the -4 to the terms inside the parentheses: 4 - x ≤ -4x - 8. Combine like terms: 12 - x ≤ -4x. Add 4x to both sides: 12 + 3x ≤ 0. Subtract 12 from both sides: 3x ≤ -12. Divide both sides by 3 (remembering to flip the inequality sign when dividing by a negative number): x ≥ -4.
The solution to the inequality is x ≥ -4. This means that any value greater than or equal to -4 would make the inequality true.
Learn more about Solving Linear Inequalities