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

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )