What is the solution to the inequality x2 >49 (x squared is greater than or equal to 49) plz help

To solve the inequality x² ≥ 49, take the square root of both sides and consider both positive and negative roots. The solutions are x ≤ -7 or x ≥ 7.

To solve the inequality x² ≥ 49, we need to consider the values of x that satisfy this condition. Let's break it down step-by-step:

Step-by-Step Explanation

x² ≥ 49. To solve this, we can take the square root of both sides of the inequality. Remember, when taking the square root of both sides, we must consider both the positive and negative roots.

Solve for x: |x| ≥ √49.

Since √49 = 7, the inequality becomes: |x| ≥ 7.

This implies x can be greater than or equal to 7 or less than or equal to -7.  

Therefore, the solution is: x ≤ -7 or x ≥ 7.

In interval notation, this solution is written as: x ∈ (-∞, -7] ∪ [7, ∞).

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Follow these clues to figure out my integers. BE SURE TO EXPLAIN YOUR REASONING!
1. The sum of the four integers is (-6)
2. When you order the integers from LEAST to GREATEST the difference of the middle two integers is (-4) and the sum is 0
3. The quotient when you divide the LEAST integer by the GREATEST is (-3)
4. The product of the two greatest integers is (+6)