−5(1 − 4a) > −5
Solution
Sure, let's solve the inequality step by step:
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Distribute the -5 across the terms inside the parentheses: -5 * 1 - (-5 * 4a) which simplifies to -5 + 20a.
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So, the inequality becomes -5 + 20a > -5.
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Add 5 to both sides to isolate the term with the variable: 20a > 0.
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Finally, divide both sides by 20 to solve for a: a > 0.
So, the solution to the inequality -5(1 - 4a) > -5 is a > 0.
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