What is the solution to the inequality below?
12x > 5(x - 2)
To solve the inequality 12x > 5(x - 2), you can follow these steps:
Step 1: Distribute the 5 to the terms inside the parentheses.
12x > 5x - 10
Step 2: Combine like terms on the right side of the inequality.
12x > 5x - 10
Step 3: Move all terms containing x to the left side and the constant term to the right side by subtracting 5x from both sides.
12x - 5x > -10
Step 4: Simplify the left side by combining like terms.
7x > -10
Step 5: Divide both sides of the inequality by 7 to solve for x.
x > -10/7
So, the solution to the inequality 12x > 5(x - 2) is x > -10/7.
To find the solution to the inequality 12x > 5(x - 2), we need to simplify the expression and isolate the variable.
Step 1: Distribute the 5 to the terms inside the parentheses:
12x > 5x - 10
Step 2: Combine like terms on the right side of the inequality:
12x > 5x - 10
Step 3: To isolate the variable, we want to move all terms containing x to one side of the inequality. In this case, we'll subtract 5x from both sides:
12x - 5x > 5x - 5x - 10
Simplifying this equation, we get:
7x > -10
Step 4: Divide both sides of the inequality by the coefficient of x, which is 7:
7x/7 > -10/7
Simplifying further:
x > -10/7
Therefore, the solution to the inequality 12x > 5(x - 2) is x > -10/7 or x is greater than -10/7.
distribute ... 12 x > 5 x - 10
subtract ... 7 x > -10
divide ... x > -10/7