Answer:
9b + 3 = 7
Step-by-step explanation:
9 times a number is 9b.
The sum of 9 times a number and 3 is 9b + 3.
The sum of 9 times a number and 3 is (=) 7. 9b + 3 = 7
Y > 5x + 5 : slope = 5, y int = (0,5), x int = (-1,0)
since there is no equal sign, it a dashed line...and since it is greater then, it is shaded above the line.
y > -1/2x + 1 : slope = -1/2, y int = (0,1), x int = (2,0)
since there is no equal sign, it is a dashed line...and since it is greater then, it is shaded above the line.
is (-2,5) included in the solution ?
Lets find out.....this solution would have to satisfy BOTH inequalities for it to be a solution.
So we sub and check...
y > 5x + 5
5 > 5(-2) + 5
5 > -10 + 5
5 > -5...correct...now we check the other one
y > -1/2x + 1
5 > -1/2(-2) + 1
5 > 1 + 1
5 > 2....correct
and since it satisfies both inequalities, it IS a solution
The domain is the set of allowed input x values for the function. In this case, the domain is the inequality
x > -8 (note the vertical asymptote at x = -8 in which the function never touches)
If you want to write the domain in interval notation, then you would write
which is the interval from -8 to positive infinity (excluding both endpoints)