Question

Решите неравенство :6-7x>3x-7

Answer 1

6-7х>3х-7
-7х-3х>-7-6
-10х>-13
х<1.3
(-∞;1.3)

Answer 2

To solve the inequality, we need to isolate the variable x on one side of the inequality sign. Here's the step-by-step solution:

1. Move the x terms to one side of the inequality: Add 7x to both sides and subtract 3x from both sides: 6 - 7x + 7x > 3x - 7 + 7x

Simplifying the equation: 6 > 10x - 7

2. Move the constant term to the other side of the inequality: Add 7 to both sides: 6 + 7 > 10x - 7 + 7

Simplifying the equation: 13 > 10x

3. Finally, isolate x by dividing both sides by 10 (remember to flip the inequality sign when dividing by a negative number): 13/10 > x

So, the solution to the inequality is: x < 13/10