Question

5х+4<х+6 Решите ,плиз

Answer 1

5x - x < 6 -4
4x < 2
x < 2/4
x < 0,5

Answer 2

To solve the inequality 5x + 4 < x + 6, we need to isolate the variable x. Here's how we can do it step by step:

Step 1: Simplify the inequality

Start by simplifying both sides of the inequality. Combine like terms on each side of the inequality.

5x + 4 < x + 6

Simplifying the left side: 5x Simplifying the right side: x

So the inequality becomes:

5x + 4 < x + 6

Step 2: Move the x terms to one side

To isolate the variable x, we need to move all the terms with x to one side of the inequality. We can do this by subtracting x from both sides of the inequality.

5x - x + 4 < x - x + 6

Simplifying both sides:

4x + 4 < 6

Step 3: Move the constant term to the other side

Next, we need to move the constant term to the other side of the inequality. We can do this by subtracting 4 from both sides of the inequality.

4x + 4 - 4 < 6 - 4

Simplifying both sides:

4x < 2

Step 4: Solve for x

Finally, to solve for x, we need to divide both sides of the inequality by the coefficient of x, which is 4.

(4x)/4 < 2/4

Simplifying both sides:

x < 1/2

So the solution to the inequality 5x + 4 < x + 6 is x < 1/2.

Please let me know if you have any further questions!