
2x+7=9 |x|=-2 |х+1|=2 |х|=9. [х]=7


Ответы на вопрос




It looks like you've written a series of equations involving absolute values and solved for the values of x. Let's break down each equation one by one:
2x + 7 = 9: Subtract 7 from both sides: 2x = 2 Divide by 2: x = 1
|x| = -2: The absolute value of a number cannot be negative, so there is no solution to this equation.
|x + 1| = 2: To solve for x, you have two cases: a) x + 1 = 2: Subtract 1 from both sides: x = 1 b) -(x + 1) = 2: First, isolate -(x + 1) on one side: -(x + 1) = 2 Then, multiply both sides by -1 to get x + 1 = -2: Subtract 1 from both sides: x = -3
|x| = 9: To solve for x, you have two cases: a) x = 9 b) -(x) = 9: Multiply both sides by -1: x = -9
= 7: The square brackets usually represent the greatest integer function or floor function. The greatest integer less than or equal to x is 7. This means x can take any value between 7 (inclusive) and 8 (exclusive). In interval notation, this would be [7, 8).
So, the solutions to the equations are:
- x = 1
- x = -3
- x = 9
- x = -9
- x belongs to the interval [7, 8).


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