Question

А) (2x-3>0 (7x+4>0б) (3-2x<1 (1,6+x<2,9

Answer 1

Ответ:

(2х>3

(х>3/2

(-2х>1-3

(х<2,9-1.6

(Х>1

(Х<1,3

Answer 2

To solve the inequalities, let's go through them one by one:

A) 2x - 3 > 0

To solve this inequality, we need to isolate x on one side of the inequality sign. Let's start by adding 3 to both sides of the inequality:

2x - 3 + 3 > 0 + 3

Simplifying, we get:

2x > 3

Next, divide both sides of the inequality by 2:

(2x)/2 > 3/2

Simplifying further:

x > 3/2

So the solution to the inequality 2x - 3 > 0 is x > 3/2.

B) 7x + 4 > 0

To solve this inequality, we'll follow a similar process. Start by subtracting 4 from both sides:

7x + 4 - 4 > 0 - 4

Simplifying, we get:

7x > -4

Next, divide both sides of the inequality by 7:

(7x)/7 > (-4)/7

Simplifying further:

x > -4/7

So the solution to the inequality 7x + 4 > 0 is x > -4/7.

C) 3 - 2x < 1

To solve this inequality, begin by subtracting 3 from both sides:

3 - 2x - 3 < 1 - 3

Simplifying, we get:

-2x < -2

Next, divide both sides of the inequality by -2. Remember to reverse the inequality sign when dividing by a negative number:

(-2x)/(-2) > (-2)/(-2)

Simplifying further:

x > 1

So the solution to the inequality 3 - 2x < 1 is x > 1.

D) 1.6 + x < 2.9

To solve this inequality, subtract 1.6 from both sides:

1.6 + x - 1.6 < 2.9 - 1.6

Simplifying, we get:

x < 1.3

So the solution to the inequality 1.6 + x < 2.9 is x < 1.3.

In summary: A) 2x - 3 > 0 is solved as x > 3/2. B) 7x + 4 > 0 is solved as x > -4/7. C) 3 - 2x < 1 is solved as x > 1. D) 1.6 + x < 2.9 is solved as x < 1.3.