Answer:
[tex]x < 2[/tex]
Step-by-step explanation:
We want to solve the inequality
[tex] \frac{ - 10 + x}{4} + 5 > \frac{7x - 5}{3} [/tex]
We multiply through by 12 to get:
[tex]12 \times \frac{ - 10 + x}{4} +12 \times 5 > \frac{7x - 5}{3} \times 12[/tex]
We simplify to get
[tex]3(- 10 + x) +60>4(7x - 5)[/tex]
We expand to get:
[tex] - 30 + 3x +60>28x - 20[/tex]
Group similar terms to get
[tex]- 30 +60 + 20>28x - 3x[/tex]
[tex]50 > 25x[/tex]
[tex]2 > x[/tex]
[tex] x< 2[/tex]
