Question

-4y + 17 <= 29

Part 1: Solve the inequality above.
Part 2: Describe the graph of the solution.

Answer 1

y>-3 but idk the other half

Answer 2

you will need a graphing calc for the second part

Answer 3

will you explain the y > -3

Answer 4

-4y + 17 <= 29
-17 -17
-4y<=12
/-4 <= /-4
y>=-3

when you divide a negative from both sides when solving for x or y the < or > flips into the opposite direction.

Answer 5

To graph the inequality y >= -3, draw out a number line.


Then plot a closed circle at -3.


Then shade to the right of the closed circle.



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General Rules for graphing inequalities on a number line:


If you have a < sign, then you make an open circle and you shade to the left of the open circle.

If you have a > sign, then you make an open circle and you shade to the right of the open circle.

If you have a <= sign, then you make a closed circle and you shade to the left of the closed circle.

If you have a >= sign, then you make a closed circle and you shade to the right of the closed circle.


Short Form of the Rules:

< sign: open circle, shade to the left.
> sign: open circle, shade to the right.
<= sign: closed circle, shade to the left.
>= sign: closed circle, shade to the right.

Note: in any of the rules above, the variable is ALWAYS on the left side of the inequality sign.