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in Linear Inequations by (49.2k points)
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Solve the inequality \(4\big(\frac12-p\big)\)+ 7 ≥ 57 over R (set of real numbers).

1 Answer

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Best answer

\(4\big(\frac12-p\big)\)+ 7 ≥ 57 ⇒ 2 - 4p + 7 ≥ 57

⇒ – 4p ≥ 57 – 9 ⇒ – 4p ≥ 48 ⇒ 4p < – 48 ⇒ p < – 12 

∴ p∈ (– ∞, –12] 

The solution set can be shown on the graph as:

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