can someone check my answer: |2x+5|-1-12

Question

can someone check my answer: |2x+5|-1<6 add -1 |2x+5|<7 2x+5>-7 subtract 5 2x>-12

precal · Answer

when you drop the asolute value it should be $$-7<2x+5<7$$

anonymous · Answer

does that mean my answer is wrong?

precal · Answer

yes because you never switch the inequality from less than to greater than unless you multiply by a negative number or if you divide by a negative number.
subtract 5 to all sides and then divide by 2

precal · Answer

$$-12<2x<2$$
$$-6<x<1$$
Your solution is from -6 to 1 but not including -6 or 1 just the numbers in between

anonymous · Answer

why do i subract 5?

precal · Answer

or add -5 same thing and it is because you want to move it to the other side

anonymous · Answer

do i subtract if from the -1 or the 6?

precal · Answer

$$\left| 2x+5 \right|-1<6$$
add 1 to both sides
$$\left| 2x+5 \right|<7$$
drop absolute value
$$-7<2x+5<7$$
subtract 5 to all 3 sides
$$-12<2x<2$$
divide by 2 to all 3 sides
$$-6<x<1$$

precal · Answer

hope that helps

anonymous · Answer

if i were to graph it on a number line what would it look like? as in wouldi t point to the left?

precal · Answer

put hollow circles on -6 and 1 that shows that they are not included and shade in between those two numbers.
-5, -4, -3, -2, -1, 0 are solutions but so are -5.999 to .99999

anonymous · Answer

|dw:1327885941882:dw|ok so i put the circles on -6 then shade to the right and i put circles on 1 and shade to the left?