Step-by-step explanation:
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 , ∞)
Answer:
6x-45°=4x+5°(vertically opposite angles are equal)
6x-4x=5+45
2x=50
x=50/2
x=25
hope it helps you!
3x-12+5-x=2x-7
2x-7 =2x-7
Means there are infinite solutions.
Answer:
Step-by-step explanation:
1. Answer below
![2x = \sqrt[3]{125}](https://tex.z-dn.net/?f=2x%20%3D%20%5Csqrt%5B3%5D%7B125%7D)
2. Answer below
![x + 3^{2} = \sqrt[3]{27}](https://tex.z-dn.net/?f=x%20%2B%203%5E%7B2%7D%20%3D%20%5Csqrt%5B3%5D%7B27%7D)
