Math hw help please!!thanks so much I really appreciate it?

Question

3)What is the solution to the inequality below?
4y+10-2y>18
A)y>4
B)y<4
C)y>14
D)y<14
4)Solve the inequality below for d.
2(d+5)<4d+6
SHOW YOUR WORK
ANSWER:__________
Graph the answer on the number line which starts from -6 to all the way 6.Do you need an open or a closed circle?
5)Solve the inequality below for w.
16w-7<(with line underneath the sign)3(2w+1)
SHOW YOUR WORK
ANSWER:__________
Graph the solution on the number line which starts from -6 to all the way 6.open or closed dot?
Thanks so much I really appreciate it so much thanks again

Answer 1

3)Given inequality is 4y + 10 - 2y >18

4y + 10 - 2y >18

Simplify

2y + 10 >18

Substract 10 on each side

2y + 10 - 10 >18 - 10

2y  >8

Divide bothsides by 2

y > 4(option 1)

Answer 2

4) The inequality 2(d + 5) < 4d + 6

2d  + 10 < 4d  + 6

2d - 4d  < 6 - 10

-2d  < -4

Multiply each side by negitive one and flip the inequality symbol.

d  > 2

Solution set

d  is greter than 2.We must use open circle on 2,since d  is not equal to 2.

Then draw an arrow to the right to indicate that d  can be any number greater than 2.

Graph

5) The inequality 16w  - 7 ≤ 3(2w  + 1)

16w  - 7 ≤ 6w  + 3

16w  - 6w  ≤ 3 + 7

10w  ≤ 10

w  ≤ 1

Solution set

w  is less than or equal to 1.We must use closed dot on 1 since w  is also equal to 1.

Then draw a line to the left to indicate that w  can be any number less than 1.

Graph

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