Question

1)|1/m|=1/42)|5/m|=2/33)|1/2n|=1/4​

Answer 1

Пошаговое объяснение:

1)

$\frac{1}{m} = \frac{1}{4} \\ m_{1} = 4 \\ \frac{1}{m} = - \frac{1}{4} \\ m_{2} = - 4$

2)

$\frac{5}{m} = \frac{2}{3} \\ m_{1} = \frac{5 \times 3}{2} = \frac{15}{2} \\ \frac{5}{m} = - \frac{2}{3} \\ m_{2} = - \frac{5 \times 3}{2} = - \frac{15}{2}$

3)

$\frac{1}{2n} = \frac{1}{4} \\ n_{1} = \frac{4}{2} = 2 \\ \frac{1}{2n} = - \frac{1}{4} \\ n_{2} = - \frac{4}{2} = - 2$

Answer 2

To solve the equations, let's consider each case separately:

1. |1/m| = 1/42

To solve for 'm', we'll first remove the absolute value by considering both the positive and negative cases:

Positive case: 1/m = 1/42 Now, cross-multiply: m = 42

Negative case: -1/m = 1/42 Cross-multiply and solve: m = -42

So, the solutions for the equation |1/m| = 1/42 are m = 42 and m = -42.

2. |5/m| = 2/33

Similar to the first equation, we consider both the positive and negative cases:

Positive case: 5/m = 2/33 Cross-multiply: 5 * 33 = 2 * m Solve for 'm': m = 165/2

Negative case: -5/m = 2/33 Cross-multiply and solve: m = -165/2

So, the solutions for the equation |5/m| = 2/33 are m = 165/2 and m = -165/2.

3. |1/2n| = 1/4

Again, consider both the positive and negative cases:

Positive case: 1/2n = 1/4 Cross-multiply: 1 * 4 = 2n Solve for 'n': n = 1/2

Negative case: -1/2n = 1/4 Cross-multiply and solve: n = -1/2

So, the solutions for the equation |1/2n| = 1/4 are n = 1/2 and n = -1/2.