Chapter 0.6, Problem 20E

To determine

To solve the equation $\frac{8}{3}t+1>-5$

Answer to Problem 20E

  $t>-\frac{9}{4}$

Explanation of Solution

Given Information: $\frac{8}{3}t+1>-5$

Formula Used : Linear inequality with one variable

Calculation:

Given equation is

  $\frac{8}{3}t+1>-5$

To isolate the variable t, adding 5 both sides-

  $\frac{8}{3}t+1+5>-5+5$

This gives-

  $\frac{8}{3}t+6>0$

To isolate the variable b, subtract 6 from both sides-

  $\frac{8}{3}t+6-6>0-6$

This gives-

  $\frac{8}{3}t>-6$

To isolate the variable t, multiply by $\frac{3}{8}$ both sides-

  $\frac{8}{3}t\times \frac{3}{8}>-6\times \frac{3}{8}$

Hence the final answer is,

  $t>-\frac{9}{4}$