Solve |x+5|+13>15?

11 Answers

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  • 1 month ago

    15 = 15/1 = 15*5/5 x = 75

  • sepia
    Lv 7
    1 month ago

    |x + 5| + 13 > 15

    Solutions:

    x > -3

    x < -7

  • SG
    Lv 5
    1 month ago

    Step 1: Add -13 to both sides.

    |x+5|+13+−13>15+−13

    |x+5|>2

    Step 2: Solve Absolute Value.

    |x+5|>2

    We know either x+5>2 or x+5<−2

    x+5>2(Possibility 1)

    x+5−5>2−5(Subtract 5 from both sides)

    x>−3

    x+5<−2(Possibility 2)

    x+5−5<−2−5(Subtract 5 from both sides)

    x<−7

    Answer:

    x>−3 or x<−7

  • 1 month ago

    |x+5|+13>15

    =>

    |x+5|>2

    =>

    x+5>2

    or

    x+5<-2

    =>

    x>-3 or x<-7

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  • 1 month ago

    I answered this previously.

    Original inequality:

    |x + 5| + 13 > 15

    Subtract 13 from both sides:

    |x + 5| > 2

    You are dealing with an absolute value, so there are two cases to consider:

    x+5 is negative or x+5 is positive.

    CASE 1 - Positive

    x + 5 > 2

    Subtract 5 from both sides:

    x > -3

    CASE 2 - Negative

    -(x + 5) > 2

    Multiply both sides by -1, remember when multiplying by a negative, switch the direction of the inequality symbol:

    x + 5 < -2

    Subtract 5 from both sides:

    x < -7

    Answer:

    x < -7 or x > -3

    Or in interval notation:

    (-∞, -7) ∪ (-3, ∞)

  • mizoo
    Lv 7
    1 month ago

    |x+5|+13>15

    |x + 5| > 2

    x + 5 > 2 or x + 5 < -2

    x > -3 or x < -7

    in interval notation: (-∞, -7) U (-3, +∞)

  • 1 month ago

    |x + 5| + 13 > 15

    Solutions:

    x > -3

    x < -7

  • 1 month ago

    First suppose x >= -5; in that case,

    x + 5 + 13 > 15 => x > -3.

    Next, suppose x < -5; in that case

    -x - 5 + 13 > 15 => -x > 7, so x < -7.

    The solution set is

    (-infinity,-7) U (-3,+infinity)

    • Alan1 month agoReport

      Yes but on my online system it only says my answer is 50% correct when i enter either of those figures?

  • 1 month ago

    |x + 5| + 13 > 15

    |x + 5| > 2

    x + 5 > 2 or x + 5 < -2

    x > -3 or x < -7

  • Anonymous
    1 month ago

    That’s not even a complete equation.

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