Question

1) 4х+1/3-х>х+1/2-х-3/42)9+2х<53)2-х>3​

Answer 1

2)2х>-4

х>-2

3)х<-1

1)4х-х>-1/4-1/3

3х>-7/12

х>-7/36

Answer 2

1) 4x + 1/3 - x > x + 1/2 - x - 3/4

To solve this inequality, we need to simplify and isolate the variable x. Let's go step by step:

First, let's simplify the equation by combining like terms:

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

3x > 1/2 - 1/3 - 3/4

Next, let's find a common denominator for the fractions on the right side of the equation. The common denominator for 2, 3, and 4 is 12.

3x > (6/12) - (4/12) - (9/12)

3x > (6 - 4 - 9) / 12

3x > -7/12

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

x > (-7/12) / 3

x > -7/36

Therefore, the solution to the inequality is x > -7/36.

2) 9 + 2x < 5

To solve this inequality, we need to isolate the variable x.

Let's start by subtracting 9 from both sides of the equation:

9 + 2x - 9 < 5 - 9

2x < -4

Next, divide both sides of the inequality by 2 to solve for x:

x < -4/2

x < -2

Therefore, the solution to the inequality is x < -2.

3) 2 - x > 3

To solve this inequality, we need to isolate the variable x.

Let's start by subtracting 2 from both sides of the equation:

2 - x - 2 > 3 - 2

-x > 1

Next, multiply both sides of the inequality by -1. Remember that when we multiply or divide both sides of an inequality by a negative number, we need to reverse the inequality sign:

x < -1

Therefore, the solution to the inequality is x < -1.

In summary, the solutions to the given inequalities are: 1) x > -7/36 2) x < -2 3) x < -1