Answer:
x< -1.8
Step-by-step explanation:
-12x+13>35
We leave the variable alone passing the 13 with opposite sign to the other side and subtracting it from 35.
-12x>22
We divide both by the variable, -12x, and it gives x > -1.8. Since the sign of x changed, we flip the sign and the final result is x < -1.8
ANSWER
[tex]x \: < \: - 1\frac{ 5}{ 6} [/tex]
EXPLANATION
The given inequality is
[tex] - 12x + 13 \: > \: 35[/tex]
Add -13 to both sides to obtain;
[tex]- 12x + 13 - 13 \: > \: 35 - 13[/tex]
Simplify to obtain:
[tex]- 12x + 0 \: > \:22[/tex]
[tex]- 12x \: > \: 22[/tex]
Divide both sides by -12 and reverse the inequality sign.
[tex] \frac{ - 12x}{ - 12} \: < \: \frac{ 22}{ - 12} [/tex]
[tex]x \: < \: \frac{ 22}{ - 12} [/tex]
This simplifies to
[tex]x \: < \: - \frac{ 11}{ 6} [/tex]
We rewrite as mixed number
[tex]x \: < \: - 1\frac{ 5}{ 6} [/tex]
