4x+7<6x+19
Can someone help me solve this problem??
-2x < 12
x < 12/2
x < 6
Thank you. But I am not understanding how you came to that answer. This is my first algebra class I am taking, and I am so confused. Can you you explain a little to me of how you got this ?? Where did the -2x come from??
4x+7<6x+19
4x - 6x + 7 - 7 < 6x - 6x + 19 - 7
-2x < 12
So first you put the x numbers together, but why do yu out the -7 on both sides? then you took the 4x-6x to get the 2x and took 19-7 to get the 12?? Why woudl nto take the 6x-6x and get the 0
You need to get the unknowns on one side and the knowns on the other side. To do that you subtract or add from both sides of the equation.
You do get 0 when you subtract 6x - 6x.
Sure! To solve this inequality, we need to isolate the variable x on one side of the inequality sign. Here's how you can do it step by step:
1. Start with the given inequality: 4x + 7 < 6x + 19.
2. Get rid of the constant term from one side by subtracting 7 from both sides: 4x < 6x + 12.
3. Next, we want to move the term with x to one side. In this case, we will subtract 6x from both sides: 4x - 6x < 12.
4. Simplify the x terms: -2x < 12.
5. Divide both sides by -2. Since we are dividing by a negative number, we need to reverse the inequality sign: x > -6.
So, the solution to the inequality is x > -6.