Question

7 x-3<9x-8(метод интервала)

Answer 1

Х > 2,5 , все подробно на рисунке

Answer 2

To solve the inequality 7x - 3 < 9x - 8, we'll use the interval method. The goal is to find the range of x that satisfies the inequality. Here's the step-by-step process:

Step 1: Subtract 7x from both sides of the inequality to isolate the variable term on one side:

7x - 3 - 7x < 9x - 8 - 7x

Simplify:

-3 < 2x - 8

Step 2: Add 8 to both sides of the inequality to get rid of the constant term on the right side:

-3 + 8 < 2x - 8 + 8

Simplify:

5 < 2x

Step 3: Now, divide both sides by 2 to solve for x:

5/2 < x

The solution is x > 5/2 or x is in the interval (5/2, +∞).

In interval notation, the solution is (5/2, +∞). This means any value of x greater than 5/2 (2.5) will satisfy the inequality.