can someone please check my answer?
-9<==4x-8<==-7
{x l -1/4 <== x <== 1/4}
is this correct??
To check your answer, we need to solve the inequality and see if your solution is correct. Let's go through the steps:
1. Start by adding 8 to all three parts of the inequality:
-9 + 8 < 4x - 8 + 8 < -7 + 8
This simplifies to:
-1 < 4x < 1
2. Divide all three parts by 4 to isolate the variable:
-1/4 < 4x/4 < 1/4
This simplifies to:
-1/4 < x < 1/4
So far, your solution is looking correct.
3. Finally, when writing the solution set, we need to use the correct inequality symbols. Instead of "<==" which is not a standard notation, we use "<" for "less than" and use "<=" only when the inequality includes equality.
The correct solution set for this inequality is:
{-1/4 < x < 1/4}
Therefore, your solution is indeed correct.
If my explanation was unclear or if you are unsure about any step, please feel free to ask for further clarification.