The interval notation to express the set of real numbers <u>x</u> that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)
<h3>Inequality</h3>
It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).
The solutions for inequalities can be given by: a graph in a number line or numbers.
For solving this exercise, it is necessary to find a number solution for the given inequality.
First, you should find the critical points of the inequality.
x+2=0
x = -2
and
x-5=0
x=5
Write, the intervals in between critical points. Therefore, -2<x<5.
Read more about inequalities here.
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Answer:
x= 16 and y = 9
Step-by-step explanation:
1 st equation ; x+y = 25
2 nd equation ; x- y = 7
from 1 st equation
x = 25 - y
now putting value of x in 2 nd equation
x- y = 7
25 - y-y = 7
25 -2y =7
25-7 = 2y
18 = 2y
18/2 = y
y = 9
again
putting value of y in 1 st equation
x = 25-y
x = 25-9
x= 16
Divide to get a low form of a fraction.
13 divide by 13 = 1
78/13 = 6
1/6 would therefore, be the lowest form
Answer:
23-5= 18
Step-by-step explanation:
-43 - 4r = 3 - 27r
Add 27r to both sides. -43 - 4r + 27r = 3 -27r + 27r or -43 + 23r = 3
Add 43 to both sides. -43 + 43 +23r = 3 + 43 or 23r = 46.
Divide both sides by 23 to get r by itself. 23r / 23 = 46 / 23 or r = 2
r = 2