Answer:
[tex]t > \frac{1700}{27} \\[/tex]
Step-by-step explanation:
1. Move variable to the left side and change the sign
[tex]18t - 4.5t > 850[/tex]
2.
Subtract the 18 - 4.5
[tex]13.5t > 850[/tex]
3. Divide both side of the inequality by 13.5
[tex]13.5t \div 13.5 > 850 \div 13.5[/tex]
4. Any expression divided by itself equals 1. So convert the decimal number into a fraction
[tex]t > 850 \div \frac{27}{2} [/tex]
5. to divide by a fraction, multiple by the reciprocal of that fraction
[tex]t > 850 \times \frac{2}{27} [/tex]
6. Calculate all together
[tex]t > \frac{1700}{27} [/tex]