Question

2x-7/6>7x-2/3​

Answer 1

Ответ: ответ ниже

Объяснение: х<-1/4

Answer 2

To solve the inequality 2x - 7/6 > 7x - 2/3, you can follow these steps:

1. First, let's get rid of the fractions by multiplying both sides of the inequality by the least common multiple (LCM) of the denominators. In this case, the LCM is 6.

   6 * (2x - 7/6) > 6 * (7x - 2/3)

2. Distribute the 6 on both sides:

   12x - 7 > 42x - 4

3. Now, let's isolate the variable terms (x) on one side and the constant terms on the other side. To do this, you can subtract 12x from both sides:

   12x - 12x - 7 > 42x - 12x - 4

   -7 > 30x - 4

4. Next, add 4 to both sides:

   -7 + 4 > 30x - 4 + 4

   -3 > 30x

5. Finally, divide both sides by 30. Be careful when dividing by a negative number because it will reverse the direction of the inequality.

   (-3) / 30 > (30x) / 30

   -1/10 > x

So, the solution to the inequality is x < -1/10.