Here, the union tells us that at least one of the original inequalities must be true. We solve each separately, first.
x + 2 < 5 OR x - 7 > -6
x < 3 OR x - 7 > -6 subtract 2 on both sides of the equation left of the OR
x < 3 OR x > 1 add 7 on both sides of the equation right of the OR
Thus x < 3 or x > 1. In set notation, {x | x < 3 or x > 1} is true.
Answer:
A) The percentage of tax paid by Karen on the Laptop is 2%
Step-by-step explanation:
The selling price of the laptop = $1800
The tax amount on laptop = $36
Let us assume the tax paid on the laptop = m %
⇒ m% of the selling price = Tax Amount
or, m % of $1800 = $36
![\implies \frac{m}{100} \times 1800 = 36\\or, m = \frac{36 \times 100}{1800} = 2](https://tex.z-dn.net/?f=%5Cimplies%20%5Cfrac%7Bm%7D%7B100%7D%20%5Ctimes%201800%20%20%3D%2036%5C%5Cor%2C%20m%20%3D%20%5Cfrac%7B36%20%5Ctimes%20100%7D%7B1800%7D%20%20%3D%202)
⇒ m = 2 %
or 2 % of $1800 = $36
Hence, the percentage of tax paid by Karen on the Laptop is 2%
Answer:
b .
x = 3
y = 3![\sqrt3](https://tex.z-dn.net/?f=%5Csqrt3)
Step-by-step explanation:
Using the pythagorean identities for 30-60-90° triangle,
we know the ratio of the sides is x - x√3 - 2x
Since 2x = 6
Then smallest side is x (opposite ∠30°) = 6/2 = 3
The other side y , opposite ∠60° will be x√3 or 3√3.
Answer:
2 ,but exact is 2.64172
Step-by-step explanation: