Solve.
3(2x - 3) < 21
To solve the inequality, we will simplify the left side of the equation and then isolate the variable.
First, distribute the 3 to every term inside the parentheses:
3 * 2x - 3 * 3 < 21
6x - 9 < 21
Next, add 9 to both sides of the equation to isolate the variable:
6x < 21 + 9
6x < 30
Finally, divide both sides of the equation by 6 to solve for x:
x < 30/6
x < 5
Therefore, the solution to the inequality is x < 5.
To solve the inequality 3(2x - 3) < 21, we can begin by simplifying the expression inside the parentheses:
2x - 3
Next, we can distribute the 3 to each term within the parentheses:
6x - 9
The inequality now becomes:
6x - 9 < 21
Next, let's isolate the variable by adding 9 to both sides of the inequality:
6x - 9 + 9 < 21 + 9
6x < 30
Finally, divide both sides of the inequality by 6 to solve for x:
(6x)/6 < 30/6
x < 5
Therefore, the solution to the inequality 3(2x - 3) < 21 is x < 5.
To solve the inequality 3(2x - 3) < 21, we will follow these steps:
Step 1: Simplify the expression inside the parentheses:
Multiply 3 by each term inside the parentheses: 3 * 2x = 6x, and 3 * -3 = -9.
So, the inequality becomes 6x - 9 < 21.
Step 2: Add 9 to both sides of the inequality:
6x - 9 + 9 < 21 + 9 simplifies to 6x < 30.
Step 3: Divide both sides of the inequality by 6, to isolate x:
Divide both sides of the inequality by 6: (6x)/6 < 30/6 simplifies to x < 5.
Therefore, the solution to the inequality 3(2x - 3) < 21 is x < 5.