Identify ALL solutions for the inequality −3x−5>10

Step-by-step explanation:

An inequality has two solutions, we have to figure out if x is greater than a number or less. There are a few special rules when solving inequalities.

1. When we divide by a negative number, we must reverse the inequality sign.

2. When we check the solution of an inequality, we need to try two numbers to ensure that we have the sign in the correct direction.

Let's solve!

-3x - 5 > 10

-3x - 5 + 5 > 15

-3x > 15

-3x/-3 > 15/-3

Remember: When we divide by negative numbers, we must reverse the sign as seen below, so greater than becomes less than.

x < -5

Now we will check two different numbers from our solution set to ensure that we have the correct answer.

-3(-6) - 5 > 10

18 - 5 > 10

13 > 10 ✔️

Remember: When we check inequalities, we need to check two solutions, so we will go with -8 for the second check, since it is also less than -5.

-3(-8) - 5 > 10

24 - 5 > 10

19 > 10 ✔️

The solution set for this inequality is any number less than -5 or x < -5 (not including -5)

nothjing

step-by-step explanation: