Question

What is the inequality of -97<-11x-9

Answer 1

Answer: So the inequality -97 < -11x - 9 is equivalent to x > 8.

Step 1: Start by isolating the variable term on one side of the inequality. In this case, we'll subtract -9 from both sides of the inequality:

-97 + 9 < -11x - 9 + 9

Simplifying, we get:

-88 < -11x

Step 2: Divide both sides of the inequality by -11. Since we're dividing by a negative number, we need to reverse the inequality symbol:

-88/-11 > -11x/-11

Simplifying, we get:

8 > x

Answer 2

`\sf x < 8`

Explanation:

To solve the inequality
`\sf -97 < -11x - 9`, follow these steps:

Add 9 to both sides of the inequality:

`\sf -97 + 9 < -11x -9+8`

Simplify:

`\sf -88 < -11x`

Divide both sides by -11.

Since we are dividing by a negative number, remember to reverse the inequality:

`\sf (-88)/(-11) >(-11 x)/(-11)`

Simplify:

`\sf 8 > x`

So, the solution to the inequality
`\sf -97 < -11x - 9` is
`\sf x < 8`.