Mathematics

Question

the inequality Six times a number x is at least −24.

2 Answer

  • Answer:

    6x ≥ -24

    x  ≥ -4

    Step-by-step explanation:

    the inequality of Six times a number x is at least −24

    6x ≥ -24

    Divide each side by 6

    6x/6  ≥ -24/6

    x  ≥ -4

  • Answer:

    [tex]6x\geq -24[/tex]

    Step-by-step explanation:

    The given statement is

    "The inequality six times a number [tex]x[/tex] is at least [tex]-24[/tex]"

    "Six times" represents the product between six and a variable.

    "At least" represents the sign [tex]\geq[/tex], which means that the minimum value possible is -24.

    So, this statement can be represented as

    [tex]6x\geq -24[/tex]

    If you want two  find the solution set for [tex]x[/tex], you just have to isolate it, as follows

    [tex]6x\geq -24\\x \geq \frac{-24}{6}\\x\geq -4[/tex]

    Therefore, the solution for the inequality is a set that comprehend -4 and all numbers more then -4.

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