-3x + 6 < 21 I need help in solving this problem step by step. Can anyone help, please? thank you very much.
-3x+6<21
-6 -6
-3x<15
/-3 /-3
x<-5
Certainly! I'd be happy to help you solve the inequality step by step.
Step 1: Start by subtracting 6 from both sides of the inequality to isolate the variable term:
-3x + 6 - 6 < 21 - 6
This simplifies to:
-3x < 15
Step 2: Next, divide both sides of the inequality by -3. It's important to note that when we divide by a negative number, the inequality symbol flips:
-3x / -3 > 15 / -3
This simplifies to:
x > -5
So the solution to the inequality is x > -5.
To double-check our answer, we can choose a value greater than -5 and substitute it into the inequality to see if it holds true. For example, let's try x = 0:
-3(0) + 6 < 21
0 + 6 < 21
6 < 21
Since 6 is indeed less than 21, our solution is correct.
Therefore, the solution to the inequality -3x + 6 < 21 is x > -5.