Question

What is the justification for each step in solving the inequality?

−2(x+1)≥3x+8−2(x+1)≥3x+8
Select from the drop-down menus to correctly justify each step.

−2(x+1)≥3x+8−2(x+1)≥3x+8 :Given
−2x−2≥3x+8−2x−2≥3x+8 :
−2x≥3x+10−2x≥3x+10 :
−5x≥10−5x≥10 :
x≤−2x≤−2 :

Answer 1

The complete solutions and justifications for the given inequality are given as follows:


`-2(x+1)\geq3x+8 \ : \ \ \ Given \\ \\-2x-2\geq3x+8 \ : \ \ \ Distributive \ Property \\ \\ -2x\geq3x+10 \ : \ \ \ Addition \ Property \ of \ Inequality\\ \\-5x\geq10 \ : \ \ \ Subtraction \ Property \ of \ Inequality\\ \\x\leq-2 \ : \ \ \ Division \ Property \ of \ Inequality`