Question

Which is the best description of the graph of the inequality y < 2x – 3?

Solid line crossing the y-axis at -3, slope of 2, shaded above the line.

Solid line crossing the y-axis at -3, slope of 2, shaded below the line.

Dotted line crossing the y-axis at -3, slope of 2, shaded above the line.

Dotted line crossing the y-axis at -3, slope of 2, shaded below the line.

Answer 1

If you have a a bigger than sign (<) then it means its dotted because it does not include the line itself. It would be solid if the equation was \[y \le 2x-3\]The slope is given by the constant infront of x and the function crosses y-axis at the constant after x. The general function is:
\[y < ax + b\]Where a is the slope and b is your y-axis. When it says less than it means the shading is below. Which one do you think it is?

Answer 2

2nd one

Answer 3

?

Answer 4

am i correct

Answer 5

It is a dotted line. Try again?

Answer 6

Dotted line crossing the y-axis at -3, slope of 2, shaded below the line.

Answer 7

Great job!

Answer 8

What is the value of f[g(5)] for the functions f(x) = 2x + 1 and g(x) = 2x - 5? (Type only the value of your final answer, no variables.)

Answer 9

is that 11 ?

Answer 10

@gezimbasha

Answer 11

Yes you're right!