1212 times a number xxx, subtracted from 343434, is greater than 8.8.8, point Write an inequality for the statement above. Find the soluti

Question

1212 times a number xxx, subtracted from 343434, is greater than 8.8.8, point Write an inequality for the statement above. Find the solution set of the inequality. Write the solution using a fraction or integer.

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    0
    2022-01-11T18:10:00+00:00

    Answer:

    x<\frac{13}{6} and (-\infty,\frac{13}{6}).

    Step-by-step explanation:

    We have been given that 12 times a number x is subtracted from 34, is greater than 0.8.

    Let use translate our given statement in an inequality.

    12 times a number x would be 12x.

    We have been given that 12 times a number x is subtracted from 34, so our expression would be: 34-12x.

    12 times a number x is subtracted from 34, is greater than 0.8.  We can represent this information in an inequality as:

    34-12x>8

    Let us solve for x.

    34-34-12x>8-34

    -12x>-26

    We know that dividing inequality by a negative number flips inequality sign.

    \frac{-12x}{-12}<\frac{-26}{-12}

    x<\frac{13}{6}

    Therefore, the solution for our given inequality is x<\frac{13}{6} and (-\infty,\frac{13}{6}) interval notation.

    0
    2022-01-11T18:10:12+00:00

    The variable is taken x for unknown number here.

    Given statement: 12 times a number x subtracted from 34 is greater than 8.

    Times represents multiplication operation.

    12 times x = 12*x = 12x.

    So, we setup an inequality for above statement as

    34 -12x > 8.

    Therefore, required inequality is 34 -12x > 8.

    Let us solve the inequality for x now.

    34 -12x >8

    Subtracting 34 from both sides, we get

    34-34 -12x > 8-34

    -12x > -26.

    Dividing both sides by -12, we get

    -12x/-12 > -26/-12

    x < 13/6. ( Note: on dividing by a negative number, the inequality sign get flip).

    So, the solution is x< 13/6.

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