- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Solve the Inequality.

x<-4

First, add 6x on both sides:
-2x+3+6x<-13
Add the x's:
4x+3<-13
Now, subtract 3 on both sides:
4x<-13-3
4x<-16
Divide by 4 on both sides:
x<-4
So the values of x that are less than -4 will make the given inequality true.
<h3>Good luck.</h3>
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<h3 />
Coefficients are added together because they are like terms, this can be proven with the distributive property. For example, x(2x+x)=2x^2+x^2=3x^2.
The commutative property of addition and the associative property demonstrate this.
The word "commutative" comes from "commute" or "move around", so the Commutative Property<span> is the one that refers to moving values around.
</span>
The associative property<span> states that you can add or multiply regardless of how the numbers are grouped. </span>
Answer:
x = 5/(10 - a - b)
Step-by-step explanation:
Solve for x:
4 + 3 x - a x = 9 - 7 x + b x
Collect in terms of x:
x (3 - a) + 4 = 9 - 7 x + b x
Collect in terms of x:
x (3 - a) + 4 = x (b - 7) + 9
Subtract (b - 7) x + 4 from both sides:
x (10 - a - b) = 5
Divide both sides by 10 - a - b:
Answer: x = 5/(10 - a - b)
Answer:
n = -2
Step-by-step explanation:
Eliminating parentheses, you have ...
2n +6 -6n = 14
Combining terms and subtracting 6, you get ...
-4n = 8
Dividing by the coefficient of n gives ...
n = -2
_____
<em><u>Check</u></em>
2(-2) +3(2 -2(-2)) = 14
-4 +3(2+4) = 14
-4 +3(6) = 14
-4 +18 = 14 . . . . answer checks OK