Question

Write the solution set for 3x-5>-4x+9

Answer 1

Given:

3x - 5 > -4x + 9

To find the solution set. first solve for x.

3x - 5 > -4x + 9

Add 4x to both sides:

3x + 4x - 5 > -4x + 4x + 9

7x - 5 > 9

Add 5 to both sides:

7x - 5 + 5 > 9 + 5

7x > 14

Divide both sides by 7:

`\begin{gathered} (7x)/(7)>(14)/(7) \\ \\ x\text{ = 2} \end{gathered}`

To write this as a solution set, we have:

`Solution\text{ set: }\mleft\lbrace2\mright\rbrace`

ANSWER:

`\mleft\lbrace2\mright\rbrace`