Question

1) 12/13:(4/3-1/4) 2)неравенство (x+1)*|x+1|>0

Answer 1

Объяснение:

1) 12/13÷13/12=12/13*12/13=144/169=0.85

2)

Answer 2

Let's solve the given expressions step by step:

1. To simplify the expression 12/13:(4/3-1/4), we need to first find the reciprocal of the fraction in the denominator and then multiply it by the fraction in the numerator. It can be done as follows:

12/13 : (4/3 - 1/4) = 12/13 : (16/12 - 3/12) [Finding a common denominator for subtraction] = 12/13 : (13/12) = 12/13 * (12/13) = 144/169

Therefore, the simplified value of 12/13:(4/3-1/4) is 144/169.

2. Now, let's solve the inequality (x+1) * |x+1| > 0. To find the values of x that satisfy this inequality, we need to consider the cases where the expression inside the absolute value (x + 1) is positive or negative.

Case 1: (x + 1) > 0 If (x + 1) is positive, then the inequality becomes (x + 1) * (x + 1) > 0. Simplifying, we have (x + 1)^2 > 0. This inequality holds true for all real values of x except x = -1.

Case 2: (x + 1) < 0 If (x + 1) is negative, then the inequality becomes -(x + 1) * (x + 1) > 0. Multiplying both sides by -1, we get (x + 1)^2 < 0. However, there are no real solutions for this case since the square of a real number cannot be negative.

Therefore, the only solution for the given inequality (x + 1) * |x + 1| > 0 is x ≠ -1.