Question

Solve the inequality 2c/3 + 1 > 7

Answer 1

Answer:

c > 9.

Step by step solved:

To solve the inequality 2c/3 + 1 > 7, we can start by isolating the variable (c) on one side of the inequality. We can do this by subtracting 1 from both sides, and then multiplying both sides by 3/2 to isolate the c term. The steps are as follows:

2c/3 + 1 > 7 (original inequality)

2c/3 > 6 (subtract 1 from both sides)

c/3 > 3 (multiply both sides by 3/2)

c > 9 (multiply both sides by 3)

Therefore, the solution to the inequality is c > 9.

Answer 2

I assume the inequality is

`\sf{ (2c)/(3) + 1 > 7}`

`\sf{ (2c)/(3) > 7-1}`

`\sf{ 2c> 18}`

`\sf{ c > 9}`

c ∈ ( 9 , ∞ )