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11-09-2022
Mathematics

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Which graph represents the inequality 2.5 is less than the product of −0.5 and a number?

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sangers1959 sangers1959

11-09-2022

Answer: x<-5

Step-by-step explanation:

[tex]2.5 < (-0.5)(x)\\2.5 < -0.5x\\[/tex]

Multiply both parts of the equation by 2:

[tex]5 < -x\\5+x < -x+x\\5+x < 0\\5+x-5 < 0-5\\x < -5[/tex]

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