Solve each inequality and graph its solution.

8) No solution

9) n > -5 (View explanation for info on how to graph)

Step-by-step explanation:

Question 8

24+6k < -6(-4-k) - Solve and graph

1) Distribute -6 to -4 and -k:

24+6k < 24+6k

2) Subtract 6k from both sides:

24<24

^ We know the following is false, therefore there is no solution to question 8.

Question 9

-2n-40 < 5(6+n)+7n - Solve and graph

1) Distribute 5 to 6 and n:

-2n-40 < 30+5n+7n

2) Combine alike terms:

-2n-40 < 30+12n

3) Add 2n to both sides:

-40 < 30+14n

4) Subtract 30 from both sides:

-70 < 14n

5) Divide both sides by 14:

n > -5

6) To graph, plot an OPEN CIRCLE (don't fill in the circle) at point -5 and then draw an arrow pointing to the right!

Let me know if you need any help with the others :)

1gm = 1000mg so 0.1gm = 1000mg

first, convert the weight to kg

160lb * 1kg/2.2lb = 72.7kg

next, the dose

72.7kg * 100mg/kg = 7270mg

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.