Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Can anyone please help me solve this and show how you did it? Thank you so much!

-3(-2w-6)<=10-2(-2w-4.5)

(WILL GIVE OUT 50 POINTS!!)

Sagot :

ashygurlllllll
Step by Step Solution
More Icon
Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.5" was replaced by "(45/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the less equal sign from both sides of the inequality :

-3*(-2*w-6)-(10-2*(-2*w-(45/10)))≤0

Step by step solution :

STEP
1
:

9
Simplify —
2
Equation at the end of step
1
:

9
(0-(3•(-2w-6)))-(10-(2•(-2w-—))) ≤ 0
2
STEP
2
:
Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 2 as the denominator :

-2w -2w • 2
-2w = ——— = ———————
1 2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-2w • 2 - (9) -4w - 9
————————————— = ———————
2 2
Equation at the end of step
2
:

(-4w-9)
(0-(3•(-2w-6)))-(10-(2•———————)) ≤ 0
2
STEP
3
:

STEP
4
:

Pulling out like terms :

4.1 Pull out like factors :

-4w - 9 = -1 • (4w + 9)

Equation at the end of step
4
:

(0 - (3 • (-2w - 6))) - (10 - (-4w - 9)) ≤ 0
STEP
5
:

STEP
6
:

Pulling out like terms :

6.1 Pull out like factors :

-2w - 6 = -2 • (w + 3)

Equation at the end of step
6
:

(0 - -6 • (w + 3)) - (4w + 19) ≤ 0
STEP
7
:

Equation at the end of step
7
:

2w - 1 ≤ 0
STEP
8
:

8.1 Divide both sides by 2

w-(1/2) ≤ 0


Solve Basic Inequality :

8.2 Add 1/2 to both sides

w ≤ 1/2


Inequality Plot :

8.3 Inequality plot for

2.000 w - 1.000 ≤ 0



One solution was found :
w ≤ 1/2
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.