Answer:
The solution of the inequality is:
[tex]x\leq 3[/tex]
Step-by-step explanation:
We are given a inequality in terms of variable x as:
[tex]2(4+2x)\geq 5x+5[/tex]
Now we are asked to find the solution of the inequality i.e. we are asked to find the possible values of x such that the inequality holds true.
We may simplify this inequality as follows:
On using the distributive property of multiplication in the left hand side of the inequality we have:
[tex]2\times 4+2\times 2x\geq 5x+5\\\\i.e.\\\\8+4x\geq 5x+5\\\\i.e.\\\\8-5\geq 5x-4x\\\\i.e.\\\\x\leq 3[/tex]
The solution is: [tex]x\leq 3[/tex]
