Explore BrainMass
Share

Explore BrainMass

    Solving Inequalities Using Interval Notation and Set-Builder Notation

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    4(3w+4)greater than or equal to 4(2w+12), it says to put answers in interval notation,

    that goes along with this one:

    4-(3/2x-3)>1/2(x+5)

    I am not sure how to sove either one of these, they are somewhat the same except the second question asks for the answer in set builder notation.

    © BrainMass Inc. brainmass.com October 9, 2019, 5:28 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/inequalities-interval-notation-set-builder-notation-58358

    Solution Preview

    Hi, here is the solution,

    4 (3w +4) >= 4 ( 2w+12)

    Use the distributive property,

    { a (b+c) = ab+ac }

    So, 12w +16 >= 8w + 48

    Isolate the variables and constants

    12w -8w >= 48 -16

    4w >= 32

    Divide by 4 on both sides, we get

    w>= 8

    Interval notation [ 8, ...

    Solution Summary

    Inequalities are solved and expressed in interval and set builder notation. The solution is detailed and well presented.

    $2.19