Question

What is −4s−9<−2s−6

Answer 1

To solve the inequality −4s−9 < −2s−6, we can start by simplifying and rearranging the terms.

Let's begin by combining like terms:
-4s - 9 < -2s - 6

Next, let's move all the terms with "s" to one side of the inequality. We can do this by adding 2s to both sides:
-4s + 2s - 9 < -2s + 2s - 6

Simplifying further, we have:
-2s - 9 < -6

Now, let's isolate the variable "s" by moving the constant term to the other side. We can do this by adding 9 to both sides:
-2s - 9 + 9 < -6 + 9

Simplifying again, we get:
-2s < 3

Lastly, let's solve for "s" by dividing both sides by -2. Here, we need to flip the inequality sign because we're dividing by a negative number:
-2s/-2 > 3/-2

This simplifies to:
s > -3/2

So, the solution to the inequality −4s−9 < −2s−6 is s > -3/2.

Answer 2

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.