Question

2+ 3x-3/2 < 3x/3 - x+7/4

Answer 1

Ответ:

Решим ваше неравенство шаг за шагом.

2 + 3x − 3/2 <3x / 3 − x + 7/4

Шаг 1. Упростите обе части неравенства.

3x + 1/2 <7/4

Шаг 2: вычтите 1/2 с обеих сторон.

3x + 1 / 2−1 / 2 <7 / 4−1 / 2

3x <5/4

Шаг 3: разделите обе стороны на 3.

3x / 3 <5/4 / 3x <5/12

Пошаговое объяснение:

Answer 2

$\displaystyle2+\frac{3x-3}{2}$

(-∞; - 3)

Answer 3

To solve the inequality 2 + 3x - 3/2 < 3x/3 - x + 7/4, we can start by simplifying both sides of the inequality:

2 + 3x - 3/2 < x - x + 7/4

Now, let's simplify further:

2 + 3x - 3/2 < 7/4

Now, isolate the x terms on one side of the inequality:

3x - 3/2 < 7/4 - 2

3x - 3/2 < 7/4 - 8/4

3x - 3/2 < -1/4

Next, add 3/2 to both sides of the inequality to isolate the x term:

3x - 3/2 + 3/2 < -1/4 + 3/2

3x < -1/4 + 6/4

3x < 5/4

Now, divide both sides of the inequality by 3 to solve for x:

(3x)/3 < (5/4)/3

x < 5/12

So, the solution to the inequality is x < 5/12.