Solve for x: −2x + 5 < 7

A. x > −1
B. x < −1
C. x > −6
D. x < −6

A

Step-by-step explanation:

To solve for x, we need to get x by itself

−2x + 5 < 7

First, move all the numbers to the same side of the inequality. To do this, subtract 5 from both sides.

-2x +5-5 <  7-5

-2x < 2

Now, all the numbers are on the same side. x is still not by itself, though, it is being multiplied by -2. To undo this, divide both sides by -2

-2x/2 < 2/-2

Since we divided by a negative number, we must flip the inequality sign

x > -1

Therefore, choice A is correct

third option: 6x+8

step-by-step explanation:

we can see that the given question is a sum of series and the values of n vary from 0 to 3

the first term will be:

when n=0, [(0)*x+2] => (0+2) => 2

when n=1, [(1)*x+2] => (x+2) => x+2

when n=2, [(2)*x+2] => 2x+2

when n=4, [(3)*x+2] => 3x+2

so adding up all the terms will give us:

=2+x+2+2x+2+3x+2

=x+2x+3x+2+2+2+2

=6x+8

so,

third option is the correct answer ..

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3