Answer: s>-3/2
Explanation:
To solve the inequality −4s − 9 < −2s − 6, we can begin by simplifying the expression:
−4s − 9 < −2s − 6
To eliminate the parentheses, we can distribute the negative sign:
-4s - 9 < -2s - 6
Next, we can combine like terms on both sides of the inequality:
-4s + 2s < -6 + 9
Simplifying further:
-2s < 3
Now, we can isolate the variable by dividing both sides of the inequality by -2. Remember, when we divide an inequality by a negative number, we need to reverse the inequality sign:
(-2s)/-2 > 3/-2
This yields:
s > -3/2
Therefore, the solution to the inequality −4s − 9 < −2s − 6 is s > -3/2.