I prefer to express solutions to inequalities using interval notation. Both formats are are important but I think interval notation is easier to understand and represents better the solutions.

For example, if you have the following inequation:

x-2> 1

x>3

Therefore, the solution could be written either x>3 OR (3, +inf). But what happens if the solution to the system of equation is x>3 or x<-3? The solution can be easily written as: (-inf, -3) U (3, inf) instead of <em>'x>3 or x<-3' </em>which is more confusing.

8 0

3 years ago

A line through (4,-2) with slope -3

GalinKa [24]

Answer: y = -3x + 10

Step-by-step explanation:

Using the formula for finding the equation of line ;

y - $y_{1}$ = m ( x - $x_{1}$ )

$x_{1}$ = 4

$y_{1}$ = -2

m = -3

Substituting into the formula , we have

y - (-2) = - 3 ( x - 4 )

y + 2 = -3x + 12

writing the equation of the line in slope - intercept form , this means that we must make y the subject of the formula , that is

y = -3x + 12 - 2

y = -3x + 10

4 0

3 years ago

Find the length of AB. 6 30 AB=[?]in

Verdich [7]

Answer:

AB ≈ 3.14 in

Step-by-step explanation:

arc AB is calculated as

AB = circumference of circle × fraction of circle

= 2πr × $\frac{30}{360}$

= 2π × 6 × $\frac{1}{12}$

= 12π × $\frac{1}{12}$

= π ≈ 3.14 in ( to the nearest hundredth )

5 0

2 years ago