Which of the following is not a way to represent the solution of the inequality 2(x − 1) less than or greater to 10? x 6 6 x A number line with a closed circle on 6 and shading to the left. A number line with a closed circle on 6 and shading to the right.
\(2(x-1) \leq 10\) Have you solved the inequality for x?
correction x <= 6 6 => X
yes I have its X <= 6
OK. The "or equal" part means that 6 is included and that is indicated with a closed circle on the number line.
The shaded area are all the numbers that could be true for this equation.
i know there are conflicting answers A and D are the same
I'm not sure what your answer options actually look like. I'm not sure what x 6 and 6 x are supposed to be. I can help you draw the solution on a number line.
its one of these A number line with a closed circle on 6 and shading to the left 6 => x which one is it
In which direction are numbers less than or equal to 6?
Based on the wording of the question, there may be more than one answer.
i know answer is x = 6 which is not representative of that A number line with a closed circle on 6 and shading to the left. A number line with a closed circle on 6 and shading to the right. x>=6
\(x \leq 6\) is represented on the numberline with a closed circle (because it is equal to) and shading to the left to indicate all the numbers less than 6. Any numbers greater than 6 fall to the right and do not solve the inequality.
it seems there are 2 answers when there should only be 1.
What are the first two options again?
x <= 6 6 =>
Those both say the same thing.
There is only one answer to this question.
i know this is what the ansewers are A number line with a closed circle on 6 and shading to the left. A number line with a closed circle on 6 and shading to the right x <= 6 6=> X
you are looking for the answer that is incorrect. \(x \leq 6\) and \(6 \geq x\) say the same thing as the numberline with a closed circle on the 6 and shading to the left.
ok i have a couple more questions ] Which of the following is not a way to represent the solution of the inequality 3(2x − 1) greater than or equal to 4(2x − 3) − 3? x less than or greater to 6 6 greater than or equal to x A number line with a closed circle on 6 and shading to the left. A number line with a closed circle on 6 and shading to the right
\[3(2x-1) \geq 4(2x-3)-3\] Did you find the solution?
no
The thing to remember here is that when you multiply or divide by a negative, you have to reverse the inequality.
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