Question

2(2х + 3) – 5 ≤ 6х +7​

Answer 1

Ответ:

2(2х + 3) – 5 ≤ 6х +7

Ответ: х ≥ — 3

Объяснение:

2(2х + 3) – 5 ≤ 6х +7

4х — 6х ≤ 7 — 1

— 2х ≤ 6

х ≥ — 3

Answer 2

To solve the inequality 2(2x + 3) - 5 ≤ 6x + 7, you'll want to simplify and isolate the variable x. Here are the steps to do that:

1. Distribute the 2 on the left side of the inequality:

   4x + 6 - 5 ≤ 6x + 7

2. Combine like terms on both sides of the inequality. In this case, combine the constants:

   4x + 1 ≤ 6x + 7

3. To isolate the variable x, you can move the 6x term to the left side by subtracting 6x from both sides of the inequality:

   4x - 6x + 1 ≤ 7

4. Simplify the left side by subtracting 6x from 4x, which results in -2x:

   -2x + 1 ≤ 7

5. Now, to isolate x, you can subtract 1 from both sides of the inequality:

   -2x + 1 - 1 ≤ 7 - 1

6. Simplify further:

   -2x ≤ 6

7. Finally, divide both sides by -2. When dividing by a negative number, you need to reverse the inequality:

   -2x / -2 ≥ 6 / -2

8. Simplify:

   x ≥ -3

So the solution to the inequality is:

x ≥ -3