8.7 The absolute value just makes stuff positive.
x is less than or equal to -4 or x is greater than or equal to 5
x <= -4 or x>= 5
There is no intersection of both inequalities when we graph it in number line So, we write the interval notation separately for each inequality
for x<=-4 , x starts at -4 and goes to -infinity because we have less than symbol. Also we have = sign so we use square brackets
Interval notation is (-∞ , -4]
for x>= 5 , x starts at 5 and goes to infinity because we have greater than symbol. Also we have = sign so we use square bracket at 5
Interval notation is [5 , ∞)
Now combine both notation by a 'U' symbol Union
(-∞ , -4] U [5 , ∞)
36/39 or 12/13 is th answer to that
Answer:
A=174
Step-by-step explanation:
Step 1: Separate the figure into two separate shapes, a triangle and a square
Step 2: Find the dimensions of the triangle and square.
Square - l=12 w=12
Triangle - h=5, b=12. (The height was found by subtracting the length of the square (12) from the total length (17).
Step 3: Solve by using formulas
A=(5)(12)/2=30
A=12*12=144
Step 4: Add the parts together
144+30=174
A=174
Given:
Total students = 60
Student passed = 85%
To find:
The number of students who failed and then convert it in %.
Solution:
We have,
Number of passed student = 85% of Total students
= 
= 
So, number of passes students is 51.
Number of students who failed = Total students - Passes students
= 
= 
So, number of students who failed is 9.
Therefore, 15% students fail in the test.
