For all values of x less than 7.5 the above inequality satisfies , i.e 
<u>Step-by-step explanation:</u>
Inequalities are the relationships between two expressions which are not equal to one another. The symbols used for inequalities are <, >, ≤, ≥ and ≠.
reads as '7 is greater than x' (or ' x is less than 7', reading from right to left).
reads as ' x is less than or equal to -4' (or '-4 is greater than or equal to x', reading from right to left).
reads as ‘ x is not equal to 5.
Here , we have
{ Dividing both sides by 2. }
∴ For all values of x less than 7.5 the above inequality satisfies.
Answer:
Domain: All Real Numbers
Range: All Real Numbers
Step-by-step explanation:
F is
F = {(x, y ) | x + y = 10}
(x,y) is the ordered pair
x + y = 10 is the expression
We can rearrange it
y = 10 - x
And then we can plot it using a graphing calculator. See attached image
By looking at the plot and examining the expression, we can see that there are no restrictions over x or y.
This means that the domain and range are all real numbers
Domain: All Real Numbers
Range: All Real Numbers
F is a function because it is a relation that associates each element x to a single element y.
Step-by-step explanation:
m< AOC = 90°
m< AOB +m<BOC = 90°
6x-12+3x +30 = 90°
9x +18° = 90°
9x = 90- 18° = 72°
x = 8°
m<AOB =6(8)-12 = 48-12 = 36°
Answer:
Step-by-step explanation:
8500- 3400=5100
Answer:
x<-8 or x>1/5
Step-by-step explanation:
First we replace > symbol by = sign
To solve for x we multiply 5x-1 on both sides
x+8 =0
x=-8
5x-1=0 solve for x
x= 1/5
WE got two values x=-8 and x= 1/5
Now we make a number line and check with each interval
x<-8, -8<x<1/5, x>1/5
Pick x= -9 and check with the given inequality
1/46 >0 is true, so x<-8 satisfies our inequality
Pick x= 0 and check with the given inequality
-8 >0 is false , -8<x<1/5 does not satifies our inequality
Pick x= 2 and check with the given inequality
10/9>0 is true , x>1/5 satisfies our inequality
