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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Acacia 6 months 2021-08-09T07:29:24+00:00 1 Answers 10 views 0

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    2021-08-09T07:30:42+00:00

    Answer:

    \{aR\ -21 \le  a \le \infty \} — set builder

    [-21,\infty) — interval notation

    Step-by-step explanation:

    Given

    -3a - 15 \le -2a + 6

    Required

    Solve

    Collect like terms

    -3a + 2a \le 15 + 6

    -a \le 21

    Divide by -1

    a \ge - 21

    Rewrite as:

    -21 \le  a

    Using set builder

    \{aR\ -21 \le  a \le \infty \}

    Using interval notation, we have:

    [-21,\infty)

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