Solve the inequality and write the solution set using both set-builder notation and interval notation. -3a-15≤-2a+6

Question

Solve the inequality and write the solution set using both set-builder notation and interval notation. -3a-15≤-2a+6

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Thái Dương 4 years 2021-08-09T07:12:22+00:00 1 Answers 22 views 0

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  1. minhkhang
    0
    2021-08-09T07:13:55+00:00
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    Answer:

    Set builder notation: {a | a ≥ -21}

    Interval notation: [-21, ∞)

    Step-by-step explanation:

    A set represents a collection of things, objects, or numbers. A set builder notation is in the form y = {x | x is an odd number between 8 and 10}, which means y contains all the odd numbers between 8 and 10.

    Interval notation is a way to define a set of numbers between a lower limit and an upper limit using end-point values. for example (8, 20) means numbers between 8 and 20.

    Given -3a-15≤-2a+6; solving :

    -3a – 15 ≤ -2a + 6

    -3a + 2a ≤ 6 + 15

    -a ≤ 21

    dividing through by -1:

    a ≥ -21

    The solution is:

    Set builder notation: {a | a ≥ -21}

    Interval notation: [-21, ∞)

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