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Today, 06:35

Priya looks at the inequalities 12-X>5 and says " I subtract a number from 12 and wants a result that is bigger than 5. That means that the solutions should be values of x that are smaller than something. "

Do you agree with priya? Explain your reasoning and include solutions to the inequality in your explanation.

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  1. Today, 07:03
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    Yes, i agree with Priya, the solutions is values of x that are smaller than 7.

    Step-by-step explanation:

    Given the inequality is

    12 - X > 5

    Solution

    12 - X > 5

    -x > 5 - 12

    -x > - 7

    x < 7 (due to change in sign of x, change the sign of inequality)

    It means all integers smaller than 7.

    Prove

    put values to check if equation hold the solution

    domain = - ∞ < x < 7

    1)

    12 - X > 5

    12 - 5 > 5

    7 > 5 TRUE

    2)

    12 - X > 5

    12 - 1 > 5

    11 > 5 TRUE

    3)

    12 - (-80) > 5

    12 + 80 > 5

    92 > 5 TRUE

    Hence, range = y > 5.
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