What is the solution to this inequality?
−9x−15<3
Responses
x<2
, , x less than 2, ,
x>−2
, , x greater than negative 2, ,
x>2
, , x greater than 2, ,
x<−2
x>-2
To solve the inequality −9x−15<3, you can follow these steps:
Step 1: First, you want to isolate the variable x. To do this, you can begin by adding 15 to both sides of the inequality:
-9x - 15 + 15 < 3 + 15
This simplifies to:
-9x < 18
Step 2: Next, divide both sides of the inequality by -9. Remember to flip the inequality symbol if you divide by a negative number:
-9x / -9 > 18 / -9
This simplifies to:
x > -2
Therefore, the solution to the inequality is x > -2.
To find the solution to the inequality −9x−15<3, we need to isolate the variable x.
Step 1: Add 15 to both sides of the inequality:
−9x−15+15 < 3+15
−9x < 18
Step 2: Divide both sides of the inequality by -9. Since we are dividing by a negative number, we need to flip the inequality symbol:
−9x / -9 > 18 / -9
x > -2
Therefore, the solution to the inequality −9x−15<3 is x > -2. This means that x is greater than -2.