Final answer:
To solve the inequality 2(x+3)<=6(x+1)-8, simplify both sides of the inequality, isolate x, and solve for x. The solution to the inequality is x>=2.
Step-by-step explanation:
To solve the inequality 2(x+3)<=6(x+1)-8, Solving equations and inequalities we first simplify both sides of the inequality.
2(x+3) = 2x + 6
6(x+1)-8 = 6x + 6 - 8 = 6x - 2
Now we can rewrite the inequality as:
2x + 6 <= 6x - 2
To isolate x, we can subtract 2x from both sides and add 2 to both sides:
6 + 2 <= 6x - 2x
8 <= 4x
To solve for x, divide both sides by 4:
8/4 <= x
2 <= x
Therefore, the solution to the inequality is x >= 2.
Learn more about Solving equations and inequalities