Answer :

So the closed circle means that the inequality is going to be equal to. And the arrow is pointing to the left so it would be the 3rd option. If this doesn’t help comments and I can try to explain more.
Answer is the 3rd choice, -4x + 16 ≤ 3x - 5

Step by step

We know a closed circle on the number line means less /more than or equal to

So the correct answer has to be one of the last two

Solve #3

-4x + 16 ≤ 3x - 5

Subtract 3x from both sides to combine variables

-4x -3x + 16 ≤ 3x - 3x - 5

-7x + 16 ≤ -5

Now subtract 16 from both sides to isolate x

-7x + 16 - 16 ≤ -5 -16

-7x ≤ -21

Divide both sides by -7 to solve for x

-7/-7 x ≤ -21 /-7

X ≤ 3

This is the correct one because the line on the number line goes left with its arrow equal to 3 and less than 3

The last choice would by greater than or equal to 3 which is not correct



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