The inequality of the graph that is given is: y < 2x - 3.
<h3>How to Write the Inequality of a Graph?</h3>
First find the slope (m) = rise / run of the line.
Rise = 2 units
Run = 1 unit
Slope (m) = 2/1 = 2
Y-intercept (b) = -3.
Since the shaded side is at the left, we are going to use the ">" sign. Substitute m = 2 and b = -3 into y < mx + b.
y < 2x - 3
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Your answer would be the second option, (-4,5).
We can find this by substituting in each point into the equation y < |x - 3| and seeing if it is true.
For the first one you get 1 < |2 - 1|. |2 - 1| = |-1| = 1, and 1 cannot be less than itself, so this is false.
For the second one you get 5 < |-4 - 3|. |-4 - 3| = |-7| = 7, and 5 is indeed less than 7, so this is correct.
I hope this helps!
Answer:
B 12x+11
Step-by-step explanation:
4x + 8x + 7 + 4
Combine like terms
12x +11
<em>
</em>C<em>ount how many times 6 goes into 31 that is 5. Remainder 1. Which means </em>
If B is the midpoint of AC, then AB = BC.
We have AB = x + 5 and BC = 2x - 11.
Therefore we have the equation:
x + 5 = 2x - 11 <em>subtract 5 from both sides</em>
x = 2x - 16 <em>subtract 2x from both sides</em>
-x = -16 <em>change the signs</em>
x = 16
Put the value of x to the expression x + 5:
AB = 16 + 5 = 21
<h3>Answer: AB = 21</h3>
