Question

The sum of 3 consecutive ODD integers is 189. What is the first integer? (Be sure to type only the first integer in the answer blank. Do not use any variables or words.)

Answer 1

(2x + 1) + (2x + 3) + (2x + 5) = 189

And then just solve for x first. Then your 3 numbers are (2x + 1), (2x + 3), and (2x + 5)

It is written this way because by multiplying by 2 we are guaranteed to have an even number. By adding the odd numbers to each term, we have all odd numbers.

Answer 2

thank u :))

Answer 3

You're welcome!

Answer 4

Solve the combined inequality and select the answer that best describes the graph of the solution.
-6x - 3 < 3 and 2x – 3 < 7

Answer 5

can u help me aut with that one too please ??

Answer 6

You have to solve for x for each, separately. Might as well start with the first one first:

-6x - 3 < 3

You have to isolate the -6x term by itself first. To do that, you have to get the "-3" over to the right. Hint: you can add the same number to both sides of the inequality and you will preserve the inequality.

Ok, take a stab at the first step. What do you add (or subtract ) to or from each side?

Answer 7

x<1 right ??

Answer 8

Well, I'll walk you through it. But pay attention because you are going to do the second equation and you can use this one as a model.

-6x - 3 < 3 (-6x - 3) +3 < 3 + 3 -6x < 6

Now divide both sides by -6. When you divide or multiply by a negative, the sign changes direction. If positive, then keep the sign in the same direction.

x > -1

Notice the sign change. Now you do the second one.

Answer 9

oh ok i got it thank u :))

Answer 10

You're welcome! But to finish it all off, you will be finding the INTERSECTION of the 2 solutions, that is, where they overlap. And the solution will have open circles at both ends.

Answer 11

Your solution will look graphically something like that.

Answer 12

The bottom open line segment.