how would you graph x>-2
and how would you solve
the sum of two numbers is 3. their difference is 1. find the number.
To graph the inequality x > -2, you would start by plotting a number line. Then, you would mark a solid dot at -2 on the number line, since it is greater than (-2), not equal to (-2). Next, draw an arrow pointing towards the right side of the number line to indicate that all values greater than -2 are valid solutions for the inequality. The arrow should be shaded or colored to emphasize that it represents an infinite set of values.
To solve the problem "the sum of two numbers is 3, and their difference is 1," you can set up a system of two equations and solve them simultaneously.
Let's assume the two numbers are represented by variables x and y, respectively.
Equation 1: x + y = 3
Equation 2: x - y = 1
One way to solve this system of equations is by elimination. To do so, we can add both equations together to eliminate the variable y:
(x + y) + (x - y) = 3 + 1
By simplifying the equation, we get:
2x = 4
Dividing both sides of the equation by 2, we find that:
x = 2
Substituting the value of x into Equation 1, we can solve for y:
2 + y = 3
y = 3 - 2
y = 1
Therefore, the two numbers are x = 2 and y = 1.