Question

FIND THE SOLUTION OF EACH EQUATION IF THE REPLACEMENT SETS ARE

A = {0,3,5,8,10}

1 . B - 12 = 9
2. 15/A = 3
3. 31 = 3A + 7

FIND THE SOLUTION OF EACH EQUATION USING THE GIVEN REPLACEMENT SET.

4. T - 13 = 7 {10, 13, 17, 20}
5. 22 = N/3 {62,64, 66, 68, 70}

SOLVE EACH EQUATION

6. A = 32 - 9(2)
7. 12 x 5/ 15 - 3 = Y
8. 27 + 5/ 16 = G
9. R = 9(6)/ ( 8 + 1 ) 3
10. DURING A LIFETIME, THE AVERAGE AMERICAN DRINKS 15,579 GLASSES OF MILK, 6220 GLASSES OF JUICE, AND 18,995 GLASSES OF SODA. WRITE AND SOLVE AN EQUATION TO FIND (G), THE TOTAL NUMBER OF GLASSES OF MILK, JUICE, AND SODA THAT THE AVERAGE AMERICAN DRINKS IN A LIFETIME.

FIND A SOLUTION SET FOR EACH INEQUALITY USING THE GIVEN REPLACEMENT SET.

11. S - 2 < 6 {6, 7, 8, 9, 10, 11}
12. 3 ≥ 25/ M {1, 3, 5, 7, 9, 11}




PLEASE HEP THANKS! :)

Answer 1

1) There are no solutions for this equation in the solution set.

2) The solution set is {5} because 15/5 = 3

3) The solution set is {8} because

`31 = 3 (8) + 7 \\ 31 = 24 + 7 \\ 31 = 31`

4) The solution set is {20} because 20 - 13 = 7

5) The solution set is {66} because 22 x 3 = 66

6)

`A = 32 - 9(2) \\ A = 32 - 18\\ A = 14`

7)

`12 * (5)/(15) - 3 = Y \\\\ 12 * (1)/(3) -3 = Y \\\\ 4 -3 = Y \\ Y =1`

8)

`27 + (5)/(16) = G\\\\G = (432 + 5)/(16)\\\\G = (437)/(16)\\\\G = 27 (5)/(16)`

9)

`R = (9(6))/( ( 8 + 1 ) 3)\\\\R = (54)/(9(3)) \\\\R = (54)/(27)\\\\ R = 2`

10)

`15,579 + 6,220 + 18,995 = G\\\\ G = 40,794`

11) The solution set is {6, 7} because:
6 -2 < 6, which is 4 < 6
AND
7 - 2 < 6, which is 5 < 6

12) The solution set is {9, 11} because:
3 ≥ 25/9, which is 3 ≥ 2.77777777778
AND
3 ≥ 25/11, which is 3 ≥ 2.2727272727

Hope this helps :D