Identify the inequality that represents the following problem. One less than twice a number is no less than five. What is the solution set?<

Question

Identify the inequality that represents the following problem. One less than twice a number is no less than five. What is the solution set?

2 n – 1 > 5
2 n – 1 ≥ 5
1 – 2 n ≥ 5
1 – 2 n > 5

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Nem 6 months 2021-08-15T15:53:08+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-15T15:54:17+00:00

    Answer:

    1-2n>5

    hope it help3d

    0
    2021-08-15T15:54:40+00:00

    Answer:

    is the last one

    1 – 2n > 5. The solution set is (-∞, -2)

    Step-by-step explanation:

    e are dealing here with two problems:

    First, to determine which mathematical statement represents “One less than twice a number is no less than five”.

    Second, solve n, that is, the solution set for the numbers that solve the inequality.

    First Part: Identifying the inequality

    “One less than twice a number” can be written as  , where n is the unknown number.

    If it is not less than five, thus it is greater (no less) than five. Then, the symbol here is  ” > ” (greater).

    As a result: “One less than twice a number is no less than five” could be rewritten as “One less than twice a number is greater than five”, or:

    .

    Second Part: Finding the solution set

    The solution set for this inequality is as follows:

    Subtract -1 from each member of the inequality:

    ⇒  ⇒  

    Multiply each member of the inequality by  (or divide each member by -2). We have to remember here that when we multiply or divide an inequality by a negative number (-n), this inverts the inequality, that is:

    The solution set is then , which is any value less than -2 (not including -2, because is < and not ≤), and we have infinite negative numbers with such a characteristic. We can write it mathematically as an interval notation:

    Solution set for  is .

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