Hi! i hope your day is wonderful! my day is going great but could you please help me and make my day even better? i hope theres enough points! you're so kind! thank you!❤

1 p - 6 > -3

add 6 to each side

p>3

for the graph put an open circle on the 3 and make a line that goes to the right

2 n - 4 < 6

ad 4 to each side

n < 10

for the graph put a closed circle ( because it uses this sign ≤) then draw a line going to the left

3 -3 < n +12

subtract each side by 12

-15 < n

draw an open circle on the 12 and draw a line going to the right

4 m - 8 < -2

add 8 to each side

m < 6

draw a closed circle on 6 and draw a line going to the left

5 8 > m - 4

add 4 to each side

12 > m draw an open circle on 12 and a line thats going towards the left

6 n + 11 < 20

subtract 11 from each side

n < 9

draw a closed circle on 9 and a line thats going in towards the left

Step-by-step explanation:

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!