the value of x in the following inequality -4x+2>10?

= -4x+2>10

Transpose 2.
= -4x>10-2
= -4x>8 (Divide both sides by -4)
= x > -2

Since we divided an inequality by a negative, we must flip the inequality sign to get it right.

= x < -2 (Answer)

Hope this helps.

-4x + 2 > 10

-4x > 8

x < -2

-4x+2>10
-4x>10-2
-4x>8
x<-2

Reading this as:-

- 4x + 2 > 10

- 8 > 4x

x < - 2

-4x + 2 > 10
-4x > 10 - 2
x < 8/(-4)
x < -2

x < -2

-4x + 2 > 10
subtract both sides by 2
-4x > 8
multiply by -1, together with reversing the inequality symbol
4x < 8
divide by 4
x < 2

-4x + 2 > 10

add 4x to both sides:
-4x + 2 + 4x > 10 + 4x
2 > 10 + 4x

subtract 10 from both sides:
2 - 10 > 10 + 4x - 10
-8 > 4x

divide both sides by 4:
-8/4 > 4x/4
-2 > x

i.e. x < -2

Hope that helps! :)