pietersandi_w said:1. -1 > x > 3
Office_Shredder said:I think you mistyped what this is supposed to be.
If you have multiple conditions, just write them out the way you would state them in English. For example, if I asked for the solutions to |x|>1 I would write "x>1 or x<-1". If someone asked for the solutions to |x2-4| > 1, I would write " x>sqrt(5) or -sqrt(3)<x<sqrt(3) or x<-sqrt(5)".
Notice you will never have an and condition. If you wrote something like " 1<x<5 and 2<x<7" you should just replace that with "2<x<5". If you have two conditions that are incompatible, just say there are no solutions rather than writing something like "1<x<3 and 5<x<6"
A logarithm inequality is an inequality that involves logarithmic functions. It compares the values of two logarithmic expressions and uses the properties of logarithms to solve for the variable.
The steps for solving a logarithm inequality are: 1) Simplify the logarithmic expressions on both sides of the inequality, 2) Use the properties of logarithms to get the variable out of the logarithm, 3) Solve the resulting algebraic equation, and 4) Check the solution by plugging it back into the original inequality.
To solve this logarithm inequality, you would first simplify the expressions using the quotient and power properties of logarithms. Then, you would get the variable out of the logarithm by using the inverse property of logarithms. Finally, you would solve the resulting equation and check the solution.
The domain of this inequality is all real numbers except for x = 0, x = 1, and x = -3. This is because the logarithmic expressions are undefined for those values of x.
Yes, you can solve this inequality graphically by graphing the two logarithmic functions and finding the values of x that make the first function greater than the second function. However, it is important to also check the solution algebraically to ensure its accuracy.