Question
Question: How do you solve and graph \[8x > 7x-4\]?...
How do you solve and graph 8x>7x−4?
Solution
Any inequality can be solved by taking all the constants to one side and all the unknowns to the other side of the equation. The constant side must be solved step-by-step to get through the solution. We can use the distributive property and do the addition, subtraction, multiplication and division operations wherever necessary in such a way to simplify the inequality.
As per the given question, we are provided with an inequality which is to be simplified to plot a graph. Here, the given inequality is 8x>7x−4.
Complete step by step answer:
In the given equation, we have to isolate x by adding −7x to both sides of the equation. Here, addition of −7x and 7x is nothing which is equal to zero. And, addition of 8x with −7x is equal to x. Then, on substituting these values, we get