Solve : 5(x + 8)- 6> 4(x + 6); I got

5x + 40 - 6> 4x + 24
5x-4x + 34> 4x - 4x +24
x + 34 -34 > 24 - 34
x > -10; is this correct?

Looks good to me! Good job! :)

Looks right to me.

looks right 2 me

To solve the inequality 5(x + 8) - 6 > 4(x + 6), you correctly started by distributing the 5 and the 4:

5x + 40 - 6 > 4x + 24

Next, combine like terms on both sides of the inequality:

5x - 4x + 34 > 4x - 4x + 24

This simplifies to:

x + 34 > 24

To isolate the variable x, subtract 34 from both sides of the inequality:

x + 34 - 34 > 24 - 34
x > -10

Therefore, your solution is correct. x is greater than -10.