Tell whether the given value is a solution of the inequality. (yes or no) -2 ≤ k/3; k = -9

Mathematics

1 answer:

olga55 [171]2 years ago

4 0

Answer: No, it is not a solution

Work Shown:

-2 ≤ k/3

-2 ≤ -9/3

-2 ≤ -3

The last inequality is false because -3 should be smaller than -2 (not the other way around). Use a number line to help see this.

Since the last inequality is false, the original inequality must also be false for that particular k value. Therefore, k = -9 is not a solution.

You might be interested in

Round the following value to the nearest cent .<br>$506.106 <br>Im confused.

matrenka [14]

I would be 506.110 cause if it is over five then round it to ten

6 0

3 years ago

Please help me on number 2!!

Gre4nikov [31]

The question is already solved, but I am adding a response so it won't show up on the unanswered list.

6 0

3 years ago

ABC will undergo two transformations to give abc. Which pair of transformations will give a different image of abc if the order

ExtremeBDS [4]

You can consider the triangle (as on in the picture) and apply to it composition of two transformations:
1. reflection about the line y=x to form ΔA'B'C' and translation 1 unit right and 5 units up to form ΔA''B''C'';
2. translation 1 unit right and 5 units up to form ΔA'B'C' and reflection about the line y=x to form ΔA''B''C''.
You can see that results are different.

On added picture blue colour responds to composition of transformations 1 and red colour to composition of transformations 2.