-0.4x<-16
the solution is{x>40}
is this correct?
Correct!
No, the given solution, {x > 40}, is incorrect. To solve the inequality -0.4x < -16, we need to isolate the variable x.
To do this, we need to divide both sides of the inequality by -0.4. However, since we are dividing by a negative number, the inequality sign must be flipped.
So, dividing both sides by -0.4:
(-0.4x) / (-0.4) > (-16) / (-0.4)
This simplifies to:
x > 40
Therefore, the correct solution to the inequality is {x > 40}.