What is the first step to solve the inequality x-5< A. Divide both sides of the inequality by 6 to simplify: - <6 B. Divide both sides of the inequality by x to simplify: 1- <6 C. Multiply both sides of the inequality by x to simplify: x-5 < 6 D. Multiply both sides of the inequality by 6 to simplify: 6x-30 < x
The first step to solve the inequality x-5<6 is to add 5 to both sides of the inequality.
Therefore, the correct answer is C. Multiply both sides of the inequality by x to simplify: x-5 < 6.
The correct first step to solve the inequality x-5 < A is to ADD 5 to both sides of the inequality in order to isolate the variable x.
The correct first step to solve the inequality x - 5 < A is option C: Multiply both sides of the inequality by x to simplify: x - 5 < 6.
To explain this, let's go through the steps of solving the inequality:
Step 1: x - 5 < A
The goal is to isolate x on one side of the inequality sign.
Step 2: Multiply both sides of the inequality by x.
By multiplying both sides of the inequality by x, we eliminate the denominator (in this case, there is no denominator) and simplify the inequality.
(x - 5) * x < 6 * x
Step 3: Simplify the expression.
x^2 - 5x < 6x
Step 4: Continue solving the inequality if needed.
At this point, we have multiplied both sides of the inequality by x, and the equation becomes x^2 - 5x < 6x. However, we are not finished solving the inequality yet. We need to continue by moving all terms to one side to set the inequality equal to zero.
x^2 - 5x - 6x < 0
Step 5: Combine like terms.
x^2 - 11x < 0
Now, we have simplified the inequality to x^2 - 11x < 0, and we can continue solving it through various methods, such as factoring or using the quadratic formula.