1. x – 3 –9 2. –2x + 1 ≤ –11 3. 10 8x – 8 5. –2(x – 3) ≥ 5 – (x + 3) 6. Explain, in complete sentences, when you would use an open circle or a closed circle, and when you would shade to the right or left, to graph an inequality on the number line. 7. Describe a real life scenario where inequalities are used and state the inequality. what i mainly need help on is how to graph them pls help?

Question

1. x – 3 > –9

2. –2x + 1 ≤ –11

3. 10 < –3x + 1

4. 2(x + 5) > 8x – 8

5. –2(x – 3) ≥ 5 – (x + 3)

6. Explain, in complete sentences, when you would use an open circle or a closed circle, and when you would shade to the right or left, to graph an inequality on the number line. 

7. Describe a real life scenario where inequalities are used and state the inequality. 


what i mainly need help on is how to graph them pls help?

anonymous · Answer

lets do the first one

anonymous · Answer

$x-3 > -9$ start by adding 3 to both sides to get $x$ on one side of the inequality to get 
$$x>-6$$

anonymous · Answer

well im pretty sure the answer to first one is X > -6..right? but i dont know how to graph that, which way does the line point to? i know its an open circle...

anonymous · Answer

now we read it to make sense out of it
"$x$ is GREATER  than $-6$"

anonymous · Answer

so what kind of numbers are greater than $-6$?  well, $-5,-4,-3,..., 0,0,1,2,...$

anonymous · Answer

ohhh! okay so it would be to the right. oh my god thank u !!!!!

anonymous · Answer

that is, number to the RIGHT of $-6$ on the number line

anonymous · Answer

yes

anonymous · Answer

make sure you know how to read your answer in english
that will save you from making mistakes
and always make $x$ the subject, so even if you see an answer that looks like $5<x$ you know to read it not as "5 is less than $x$" even though that is correct
read it as "$ x$ is greater than 5"

anonymous · Answer

then in your head pick some numbers that work, that will let you know what direction to go in

anonymous · Answer

ok thank u i understand it so much better now!!

anonymous · Answer

want to try the next one?  it is slightly more difficult

anonymous · Answer

well i have the answer to this one, but not the rest of the questions yet im pretty sure it's  x  ≥ 6 meaning it would then be a closed circle to the right also..? am i correct?

anonymous · Answer

let me check

anonymous · Answer

yes that is correct, you should get $x\geq 6$ which you represent as a closed circle because of the $\leq$ and to the right.
guess you got this
good work

anonymous · Answer

i means closed circle because of the $\geq$

anonymous · Answer

yes thank u so much!!

anonymous · Answer

yw