-5s-8/4<-22

add 8/4 to each side

-5s<-20
divide by -5
s>4

i meant -5s-8 divided by 4 is greater of less than -22

To solve the inequality -5s - 8/4 < -22, follow these steps:

Step 1: Simplify
Start by simplifying the expression on the left side of the inequality. Since -8/4 = -2, the inequality becomes -5s - 2 < -22.

Step 2: Move the constant to the other side
Next, get rid of the -2 on the left side of the inequality by adding 2 to both sides. This gives you -5s < -20.

Step 3: Divide by the coefficient of s
To solve for s, divide both sides of the inequality by -5. However, since you are dividing by a negative number, the inequality sign will flip. So you have s > (-20) / (-5).

Step 4: Simplify and solve
Finally, simplify the right side of the inequality by dividing -20 by -5. This gives you s > 4.

Therefore, the solution to the inequality -5s - 8/4 < -22 is s > 4.