All categories

3 years ago

Solve the inequality.

Mathematics

2 answers:

irinina [24]3 years ago

5 0

Answer: Be Te Dubs meaning BTW Go To TigerAlgebra.com for questions like yours its really great

Step-by-step explanation:

|3x+6|<12

One solution was found :

-6 < x < 2

Absolute Value Inequality entered :

|3x+6|<12

Step by step solution :

Step 1 :

Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered

|3x+6| < 12

Step 2 :

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |3x+6|

For the Negative case we'll use -(3x+6)

For the Positive case we'll use (3x+6)

Step 3 :

Solve the Negative Case

-(3x+6) < 12

Multiply

-3x-6 < 12

Rearrange and Add up

-3x < 18

Divide both sides by 3

-x < 6

Multiply both sides by (-1)

Remember to flip the inequality sign

x > -6

Which is the solution for the Negative Case

Step 4 :

Solve the Positive Case

(3x+6) < 12

Rearrange and Add up

3x < 6

Divide both sides by 3

x < 2

Which is the solution for the Positive Case

Step 5 :

Wrap up the solution

-6 < x < 2

Solution in Interval Notation

(-6,2)

Solution on the Number Line

One solution was found :

-6 < x < 2

viva [34]3 years ago

5 0

I think the answer might be A

You might be interested in

4x=(cd)/(yz) solve for z

Svet_ta [14]

Iuyhnbvfcrtgbhnjlkbvcxdfvghbnjk

6 0

4 years ago

Need help!

siniylev [52]

Correct Inputs :-

In ΔABC right angled at A, D and E are points on BC, C such that BD = CD and AD ⊥ BC

$\underline{\underline{\large\bf{Solution:-}}}\\$

$\longrightarrow$ Let us know about definition of altitude first. The altitude of a triangle is the perpendicular line segment drawn from the vertex to the opposite side of the triangle.

$\leadsto$ Median is the line segment from a vertex to the midpoint of the opposite side.

Let us Check all options one by one

CD is line segment which starts from vertex C but don't falls on opposite side AB thus it is not an altitude.❌

BA is line segment which starts from vertex B and falls perpendicularly on opposite sides AC and is thus an altitude.✔️

AD is line segment which starts from vertex A and falls perpendicularly on opposite side BC and is thus an altitude.✔️

AE is a line segment which starts from vertex A but doesn't falls perpendicularly on opposite side BC and is thus not an altitude.❌

AD falls on BC with D as mid point because BD = CD and is thus a median. ✔️

8 0

2 years ago

Find the matrices of

aniked [119]

$\huge{\sf \left[{x-2y\atop 6x-2z}\:\:\:{4y-3\atop 2y-z}\right]=\left[{-3\atop 4}\:\:\:{5\atop 3}\right]}$

Creating equations

$\\ \sf\longmapsto x-2y=-3\dots(1)$

$\\ \sf\longmapsto 4y-3=5\dots(2)$

$\\ \sf\longmapsto 6x-2z=4\dots(3)$

$\\ \sf\longmapsto 2y-z=3\dots(3)$

From eq(2)

$\\ \sf\longmapsto 4y-3=5$

$\\ \sf\longmapsto 4y=5+3$

$\\ \sf\longmapsto 4y=8$

$\\ \sf\longmapsto y=\dfrac{8}{4}$

$\\ \bf\longmapsto y=2$

Put the value in eq(1)

$\\ \sf\longmapsto x-2y=-3$

$\\ \sf\longmapsto x=-3+2y$

$\\ \sf\longmapsto x=-3+2(2)$

$\\ \sf\longmapsto x=-3+4$

$\\ \bf\longmapsto x=1$

Put the value in eq(4)

$\\ \sf\longmapsto 2y-z=3$

$\\ \sf\longmapsto z=2y-3$

$\\ \sf\longmapsto z=2(2)-3$

$\\ \sf\longmapsto z=4-3$

$\\ \bf\longmapsto z=1$

8 0

3 years ago

For a game show, a contestant will be asked to select three months at random. What is the probability that a contestant will sel

stira [4]

Im pretty sure the answer is 3/12 why? Because your selection is 12 because there are 12 months in a year the way you get three is because of march July and November...hoped this helped

4 0

3 years ago

Neal buys a board game. He pays for the board game and pays \$1.54$1.54dollar sign, 1, point, 54 in sales tax. The sales tax rat

jok3333 [9.3K]

You provide info on the circumstances but do not provide instructions. What are you looking for here?

Suppose the board game cost $25 before tax.

If the tax payable was $1.54, then the sales tax rate was r:
$1.54
$25r = $1.54. Solving for r, r = ---------- = 0.0616, or 6.16%
$25

If this isn't quite what you were looking / hoping for, then please ensure you have copied down the original problem exactly.

4 0

4 years ago