Answer:
[tex]s\in (-\infty,1)[/tex]
Step-by-step explanation:
Solve the inequality [tex]-2(s - 7) > 4s + 8[/tex]
Use distributive property:
[tex]-2s+14>4s+8[/tex]
Subtract 4s:
[tex]-2s+14-4s>4s+8-4s\\ \\-6s+14>8[/tex]
Subtract 14:
[tex]-6s+14-14>8-14\\ \\-6s>-6[/tex]
Divide by -6 (do not forget to change sign, because division by negative number changes the sign):
[tex]s<1\\ \\s\in (-\infty,1)[/tex]
