Question
Write the inequality in the form of a<x<b. |x| < c^2
115
likes577 views
Answer to a math question Write the inequality in the form of a<x<b. |x| < c^2
Ali
4.492 Answers
To write the inequality |x| < c^2 in the form of a < x < b, we need to consider two separate cases:
Case 1: x is positive
In this case, the inequality |x| < c^2 becomes x < c^2.
Case 2: x is negative
In this case, the inequality |x| < c^2 becomes -x < c^2. To solve for x, we need to multiply both sides of the inequality by -1, but since we are multiplying by -1, we need to change the direction of the inequality, giving us -x > -c^2. Finally, multiplying both sides by -1 gives us x > -c^2.
Combining both cases, we can write the inequality in the form of a < x < b as -c^2 < x < c^2.
Therefore, the inequality |x| < c^2 can be written as -c^2 < x < c^2.
Answer: -c^2 < x < c^2
Case 1: x is positive
In this case, the inequality |x| < c^2 becomes x < c^2.
Case 2: x is negative
In this case, the inequality |x| < c^2 becomes -x < c^2. To solve for x, we need to multiply both sides of the inequality by -1, but since we are multiplying by -1, we need to change the direction of the inequality, giving us -x > -c^2. Finally, multiplying both sides by -1 gives us x > -c^2.
Combining both cases, we can write the inequality in the form of a < x < b as -c^2 < x < c^2.
Therefore, the inequality |x| < c^2 can be written as -c^2 < x < c^2.
Answer: -c^2 < x < c^2
Frequently asked questions (FAQs)
Question: What is the value of sinh(arcsinh(e^2) - cosh^(-1)(4π)) + tanh^(-1)(10) in radians?
+
Question: What is the sum of the measures of the interior angles of two congruent triangles?
+
What is the value of x if f(x) = log x is equivalent to f(x) = ln x?
+
New questions in Mathematics