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Answer :
Answer:
To solve the inequality 40(7−5x)<7−25(8x+2), we can start by distributing the 40 on the left side and the -25 on the right side:
280 - 200x < 7 - 200x - 50
Next, we can combine like terms on both sides:
230 - 200x < -200x - 43
Now, we can add 200x to both sides:
230 < -43
This is a false statement, which means that there is no solution to the inequality. Therefore, the inequality 40(7−5x)<7−25(8x+2) is false for all values of x.
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