Question

9. Solve the following formula for the specified variable.

Z= J + dr for d

d= ? (simplify your answer.)

10. Solve the linear inequality. Other than ∅​, graph the solution set on a number line.

3x - 5 > 4

The solution set in interval notation is ? . (Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in interval​ notation.)

11. Solve the linear inequality. When the solution is other than ∅​, use interval notation to express the solution set and graph the solution set on a number line.

8(x+1) + 4 > 7x+ 17

12. Solve the linear inequality. Other than ∅​, graph the solution set on a number line.

2- x/6 > 3

Answer 1

9) Z = J + dr

subtracting J from both sides

Z - J = dr

dividing both sides by r

d = ( Z - J ) / r

10) 3x - 5 > 4

adding 5 on both sides

3x > 9

dividing both sides by 3

x > 3

solution in interval notation is ( 3 , infinity )

11) 8 ( x + 1 ) + 4 > 7x + 17

8x + 8 + 4 > 7x + 17

8x - 7x > 17 - 8 - 4

x > 5

solution in interval notation is ( 5 , infinity )

12)  2 - x/6 > 3

multiplying both sides by 6

12 - x > 18

subtracting both sides by 12

-x > 6

dividing both sides by -1

x < -6

solution is ( -infinity , -6 )