Respuesta :

3(x + 1) + 2(x + 2) > 0

3x + 3 + 2x + 4 > 0 (Distribute)

5x + 7 > 0 (Combine like terms)

5x > -7 (Subtract 7 from each side)

x > -7/5 (Divide each side by 5)

The inequality [3(x + 1) + 2(x + 2) > 0] will be solve by using the arithmetic operations and the solution is given by: [tex]x>-\dfrac{7}{5}[/tex] .

Given :

Inequality - 3(x + 1) + 2(x + 2) > 0

To solve the inequality following steps can be used:

Step 1 - Rewrite the inequality.

[tex]3x + 3 +2x +4>0[/tex]

Step 2 - Addition of 3x with 2x.

[tex]5x +3+4>0[/tex]

Step 3 - Addition of 3 with 4.

[tex]5x+7>0[/tex]

Step 4 - Further simplify the above expression.

[tex]x>-\dfrac{7}{5}[/tex]

The inequality [3(x + 1) + 2(x + 2) > 0] will be solve by using the arithmetic operations and the solution is given by: [tex]x>-\dfrac{7}{5}[/tex] .

For more information, refer to the link given below:

https://brainly.com/question/2263981