3 s plus 6 is less than or equal to negative 5 times left parenthesis s plus 2 right parenthesis
The given inequality is:
3s + 6 ≤ -5(s + 2)
Expand the brackets:
3s + 6 ≤ -5s - 10
Combine like terms:
3s + 5s ≤ -10 - 6
8s ≤ -16
Divide both sides by 8:
s ≤ -2
So, the solution to the inequality is s ≤ -2.
To solve the inequality 3s + 6 ≤ -5(s + 2), follow these steps:
Step 1: Distribute the -5 on the right side of the inequality:
3s + 6 ≤ -5s - 10
Step 2: Combine like terms on both sides of the equation:
3s + 5s ≤ -10 - 6
8s ≤ -16
Step 3: Divide both sides of the equation by 8 to isolate the variable:
s ≤ -16/8 simplified to s ≤ -2
Therefore, the solution to the inequality is s ≤ -2.