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3 November, 10:55

Which graph represents the solution set of the compound inequality Negative 4 less-than-or-equal-to 3x minus 1 and 2 x + 4 less-than-or-equal-to 18?

A number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7.

A number line goes from negative 10 to positive 10. A closed circle appears at negative 7 and positive 1. The number line is shaded from negative 7 to positive 1.

A number line goes from negative 10 to positive 10. A closed circle appears at negative 1. The number line is shaded from negative 1 toward negative 10.

A number line goes from negative 10 to positive 10. A closed circle appears on positive 7. The number line is shaded from positive 7 toward positive 10.

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Answers (2)
  1. 3 November, 13:10
    0
    A number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7.

    Step-by-step explanation:

    The set of compound inequality are - 4 ≤ 3x - 1 and 2x + 4 ≤ 18.

    Now, - 4 ≤ 3x - 1

    ⇒ 3x ≥ - 3

    ⇒ x ≥ - 1

    And, 2x + 4 ≤ 18

    ⇒ 2x ≤ 14

    ⇒ x ≤ 7

    Therefore, the solution will be 7 ≥ x ≥ - 1

    Hence, the graph that shows the solution is 'a number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7'. (Answer)
  2. 3 November, 13:11
    0
    Graph A is your answer.
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