Question

(50 POINTS GIVING BRAINLIEST ANSWER NOW PLEASE ASAPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!)
Determine which integers in the set S:{−32, −8, 16, 32} will make the inequality one fourth times the difference of m and four is less than or equal to one eighth times the difference of m and sixteen false.

S:{16, 32}
S:{−8, 16}
S:{−32, −8}
S:{−32, 32}

  2. Inequality shows a relationship between two numbers or two expressions.
    There are commonly used four inequalities:
    Less than = <
    Greater than = >
    Less than and equal = ≤
    Greater than and equal = ≥
    The integer that can make the inequality true is m = -8
    (1/4)(m – 4) ≤ (1/8)(m – 16)
    1/4 x -12 ≤ 1/8 x -24
    -3 ≤ -3

    What is inequality?

    It shows a relationship between two numbers or two expressions.
    There are commonly used four inequalities:
    Less than = <
    Greater than = >
    Less than and equal = ≤
    Greater than and equal = ≥
    We have,
    One-fourth times the difference between m and four is less than or equal to one–eighth times the difference between m and sixteen
    This can be written as,
    (1/4)(m – 4) ≤ (1/8)(m – 16)
    The number that will make the inequality true.
    S = {−32, −8, 16, 32}
    We will check each value.
    m = -32
    1/4 x -36 ≤ 1/8 x -48
    -9 ≤ -4
    Not true
    m= -8
    1/4 x -12 ≤ 1/8 x -24
    -3 ≤ -3
    True
    m = 16
    1/4 x 12 ≤ 1/8 x 0
    3 ≤ 0
    Not true
    m = 32
    1/4 x 28 ≤ 1/8 x 16
    7 ≤ 2
    Not true
    Thus,
    The integer that can make the inequality true is m = -8
    (1/4)(m – 4) ≤ (1/8)(m – 16)
    1/4 x -12 ≤ 1/8 x -24
    -3 ≤ -3
    Learn more about inequalities here:
    #SPJ2

    Reply

Leave a Comment