Question

Represents the solution to the inequality -9=2/3x-7<5

Answer 1

-3=x <13

Explanation:

`- 9 = (2x)/(3) - 7 < 5`

Multiply through by 3

`- 27 = 2x - 21 < 15`

Add 21 to all sides

`- 6 = 2x < 36`

Divide through by 2

`- 3 = x < 18`

The solutin set is

`{- 3 = x < 18}`

Answer 2

To solve the inequality -9 ≤ 2/3x - 7 < 5, isolate the variable x. Add 7 to all parts, then multiply all parts by 3 to cancel out the fraction. Finally, divide all parts by 2 to solve for x.

To solve the inequality -9 ≤ 2/3x - 7 < 5, we need to isolate the variable x. First, let's add 7 to all parts of the inequality:

-9 + 7 ≤ 2/3x - 7 + 7 < 5 + 7

-2 ≤ 2/3x < 12

Next, let's multiply all parts by 3 to get rid of the fraction:

-2 * 3 ≤ (2/3x) * 3 < 12 * 3

-6 ≤ 2x < 36

Finally, divide all parts by 2 to solve for x:

-6/2 ≤ (2x)/2 < 36/2

-3 ≤ x < 18

Therefore, the solution to the inequality is -3 ≤ x < 18.