Answer :
Final answer:
The solutions to the equation |x| = 49 are -49 and 49 because the absolute value of a number is its distance from zero, so both -49 and 49 are 49 units away from zero on the number line.
Explanation:
The student is asking which of the numbers listed are solutions to the absolute value equation |x| = 49. To find the solutions, we need to consider the definition of absolute value. The absolute value of a number is the distance of that number from zero on the number line, regardless of direction. Therefore, the equation |x| = 49 has two possible solutions: when x is 49 units away from zero in the positive direction, and when x is 49 units away from zero in the negative direction.
- B. 7 is not a solution because the absolute value of 7 is 7, not 49.
- C. -7 is not a solution for the same reason; the absolute value of -7 is also 7.
- D. -49 is a solution because the absolute value of -49 is indeed 49.
- E. 49 is also a solution because the absolute value of 49 is 49.
Therefore, the solutions to the equation |x| = 49 are -49 and 49.
Final answer:
The only solution to the equation 1x1 = 49 is 7.
Explanation:
The given equation is 1x1 = 49. Simplifying this expression, we have 1 squared equals 49. The square root of 49 is 7. So, the only solution to this equation is 7.
Learn more about Solving equations here:
https://brainly.com/question/14410653
