For the inequality, decide whether the solution is represented by x <2.5 OR x >2.5. -25 > -5(x+2.5)

Question

For the inequality, decide whether the solution is represented by x <2.5 OR x >2.5. -25 > -5(x+2.5)

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Thiên Di 3 years 2021-07-30T16:42:21+00:00 1 Answers 79 views 1

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  1. minhkhoi
    1
    2021-07-30T16:43:28+00:00
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    To solve the inequality -25 > -5(x + 2.5), first multiply -5 by the number and variable in the parentheses.

    -25 > -5x – 12.5

    Now add 12.5 to both sides of the equation.

    -25 + 12.5 > -5x – 12.5 + 12.5

    -12.5 > -5x

    Now divide -12.5 by -5 to get the answer.

    -12.5 ÷ -5 is 2.5

    You would think the final answer is 2.5 > x, but that is not true because -5 is negative and when a negative number is divided to both sides of an inequality, the sign gets flipped.

    So, the real answer is 2.5 < x, or x > 2.5.

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