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5 November, 10:01

Three times x is less then - 6 and greater then - 21

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  1. 5 November, 12:44
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    -21 < 3x < - 6

    OR - 6 > 3x > - 21

    Step-by-step explanation:

    Take a part each section of the word form. Translate each section into algebraic form (numbers and symbols) and put the sections back together.

    "Three times x": 3x A number and variable together multiply

    "is less than - 6": < - 6

    "and greater than - 21": > - 21

    When writing that a number is > or <, you can also write the number on the other side, change the symbol, and it will mean the same thing.

    <-6 is the same as - 6>

    > - 21 is the same as - 21 <

    The number remains on the same open or closed side of the symbol.

    The problem tells use that "3x" is between - 21 and - 6. Put the sections back together, but write 3x in the middle.

    -21 < 3x < - 6

    You can also write:

    -6 > 3x > - 21

    You can write them either way, but some teachers prefer smaller number to bigger number from left to right.
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