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