Solve.
3x < 18
A) x < 6
B) x > 6
C) x < 15
D) x > 54
This works just like an equation. Divide both sides by 3.
The only difference is if you had
-3x<18 you would divide both sides by -3 . Dividing or multiplying by a negative number means you have to switch the direction of the inequality.
To solve the inequality 3x < 18, we need to isolate the variable x. The process for solving inequalities is similar to solving equations, but with one key difference:
1. Start by subtracting the same value from both sides of the inequality to isolate the x term. In this case, subtract 18 from both sides: 3x - 18 < 0.
2. Simplify the equation: 3x - 18 < 0.
3. Now, we need to isolate the x term. Begin by adding 18 to both sides of the inequality: 3x < 18.
4. Simplify the equation: 3x < 18.
5. Finally, divide both sides of the inequality by 3 to solve for x: x < 6.
Therefore, the answer is A) x < 6.