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Homework Statement
-2≤x2≤4
How to find ...<x<...?
Show I take square root of everything? What about the negative -2?
Finding x in -2≤x^2≤4 means finding the possible values of x that satisfy the given inequality. In other words, we are looking for the range of values that x can take on in order for the statement to be true.
To solve for x, we need to isolate it on one side of the inequality. In this case, we can take the square root of both sides to get rid of the exponent. Remember to consider both the positive and negative square root when solving for x.
The solution set for this inequality is the range of values that x can take on in order for the statement to be true. In this case, the solution set is -2≤x≤2, which means that x can take on any value between -2 and 2, including -2 and 2.
Yes, you can use a calculator to solve for x in this inequality. However, it is important to know how to solve it manually as well, as some inequalities may not be easily solved using a calculator.
To graph this inequality, we can start by plotting the boundary lines -2 and 2 on a number line. Then, we can shade the region between these two lines to indicate the solution set. This will give us a visual representation of the range of values that x can take on.