Question

Solve the inequality. -x+3>7. I isolate the x, subtract -3 from both sides that gives me -x>4 but the correct answer is x<-4 why did the sign flip since I didnt multiply or divide? what am I missing?

Answer 1

\[3 > 7 + x\]

Answer 2

\[-4 > x\]

Answer 3

which could be written:
\[x < -4\]

Answer 4

how did -x become just x?

Answer 5

you add x to both sides of the inequality

Answer 6

I was subtracting 3 from both sides

Answer 7

\[-2 + 6 = 4\] is the same as \[6 = 4 + 2\]

Answer 8

I thought I missed a step

Answer 9

You were doing it fine, but you want to get x by itself

Answer 10

So, if we did it your way, then we would multiply each side by -1

Answer 11

and that should give us the same result

Answer 12

I think...

Answer 13

exactly when you multiply you have to flip the sign. I got it! Thank you