Question

the replacement set is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} then the solution set for 7x – 3 > 2(x+6) is :

2 points

a. {1, 2, 3, 4, 5, 6}

b. (2, 4, 6, 8, 10}

c. {4, 5, 6, 7, 8, 9, 10}

d. {1, 3, 5, 7, 9}​

Answer 1

Answer:

option :c

Step-by-step explanation:

s ={ 1,2,3,4,5,6,7,8,9,10}

7x -3 > 2(x+6)

7x -3 > 2x+12

subtract -2x from both the side

7x-2x -3> 2x-2x +12

5x-3> 12

add +3 both the sides

5x-3+3> 12+3

5x> 15

divide by 5 both the sides

5x/5>15/5

x>3

as the x is greater than 3 the solution set from above set is

{4,5,6,7,8,9,10}

Answer 2

Answer:

I hope it helps you

Step-by-step explanation:

4z – 2 < 2z + 10

⟹ 4z – 2 + 2< 2z + 10 + 2, [Adding 2 on both the sides]

⟹ 4z < 2z + 12

⟹ 4z – 2z < 2z + 12 – 2z, [Subtracting 2z from both sides]

⟹2z < 12

⟹ 2z2 < 122, [Dividing both sides by 2]

⟹ z < 6

Since the replacement set = W (whole numbers)

Therefore, the solution set = {0, 1, 2, 3, 4, 5}