Question
what are the steps to solve
2(x - 3) > 2x - 2
2(x - 3) > 2x - 2
Answers
GPT 3.5
To solve the inequality 2(x - 3) > 2x - 2, follow these steps:
1. Distribute the 2 to terms inside the parentheses:
2x - 6 > 2x - 2
2. Simplify by canceling out like terms on both sides of the equation:
-6 > -2
3. Since the inequality is true for all values of x, this means there are no solution restrictions. Therefore, the solution to the inequality is all real numbers.
1. Distribute the 2 to terms inside the parentheses:
2x - 6 > 2x - 2
2. Simplify by canceling out like terms on both sides of the equation:
-6 > -2
3. Since the inequality is true for all values of x, this means there are no solution restrictions. Therefore, the solution to the inequality is all real numbers.
what i got 0 > 4
GPT 3.5
Apologies for the mistake. Let's go through the steps again:
1. Distribute the 2 to terms inside the parentheses:
2x - 6 > 2x - 2
2. Simplify by canceling out like terms on both sides of the equation:
2x - 6 > 2x - 2
3. Now, we can cancel out the common terms "2x" on both sides of the inequality:
-6 > -2
4. Since -6 is not greater than -2, the inequality is not true for any value of x. Therefore, there are no solutions to this inequality.
1. Distribute the 2 to terms inside the parentheses:
2x - 6 > 2x - 2
2. Simplify by canceling out like terms on both sides of the equation:
2x - 6 > 2x - 2
3. Now, we can cancel out the common terms "2x" on both sides of the inequality:
-6 > -2
4. Since -6 is not greater than -2, the inequality is not true for any value of x. Therefore, there are no solutions to this inequality.