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:
[tex]\begin{gathered} \frac{7x}{7}>\frac{14}{7} \\ \\ x\text{ = 2} \end{gathered}[/tex]To write this as a solution set, we have:
[tex]Solution\text{ set: }\mleft\lbrace2\mright\rbrace[/tex]ANSWER:
[tex]\mleft\lbrace2\mright\rbrace[/tex]