Answer:
{x | x ∈ R, x > 3}
Step-by-step explanation:
We are given the following inequality:
x - 5 > -2
In order to find the solution, we have to isolate the x on one side. This can be done by adding 5 to both sides of the inequality as shown below:
x - 5 + 5 > -2 + 5
x > 3
So the solution of the inequality is set of all numbers where x > 3. This is represented by 3rd option.
So, {x | x ∈ R, x > 3} is the answer.
the graph will shift 3 units to the right
Answer: 11/16
<u>Turn 1 7/8 into an Improper Fraction</u>
Multiply 1×8 and get 8. Now add 7 and get 15.
1 7/8 = 15/8
<u>Turn 2 8/11 into an Improper Fraction</u>
Multiply 2×11 and get 22. Now add 8 and get 30.
2 8/11 = 30/11
<u>Do Keep Change Flip</u>
Keep: 15/8
Change ÷ into ×
Flip: 30/11 into 11/30
Your New Problem: 15/8×11/30
<u>Multiply</u>
15/8×11/30=165/240
<u>Simplify</u>
165/240÷15/15=11/16
Answer: 15
Step-by-step explanation:
First step is to find the slope of the line given
y = -x - 2
y = mx + c where m is the slope of the line so the slope of the line is -1
If 2 lines are perpendicular to one another, the product of the slopes is -1 so the slope of the perpendicular line is -1/-1 = 1
y = 1x + c or y = x + c
As the line passes through the coordinate (-5,10), we can substitute the x and y value of the coordinates into the equation
10 = -5 + c
c = 15
So the equation of the line is y = x + 15
