Question

IGNOR MY ANSWER I ALSO NEED TO KNOW IF IT'S OPEND OR CLOSED Graph the solution to this inequality on the number line.

−4m+3>11

Answer 1

Answer: your graph is correct just open it and you're good

Step-by-step explanation:

open is greater than or less than

closed is when its greater than or equal to or less than or equal to

(if that makes any sense)

Answer 2

Answer:  m < -2

The graph has an open hole at -2; shading to the left

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Explanation:

Let's isolate m

$\text{Method 1}\\\\-4m+3 > 11\\\\-4m > 11-3\\\\-4m > 8\\\\m < 8/(-4) ... \text{ inequality sign flip}\\\\m < -2$

Or,

$\text{Method 2}\\\\-4m+3 > 11\\\\3 > 11+4m\\\\4m+11 < 3\\\\4m < 3-11\\\\4m < -8\\\\m < -8/4\\\\m < -2$

You only need to follow one set of steps. No inequality sign flip occurs with method 2 because we aren't dividing both sides by a negative number.

The graph will have an open hole at -2 and shading to the left. Your graph is very close, but you'll need to fix the closed endpoint to an open hole. The open hole says "do not include -2 as part of the shaded solution region".