Question 71726
inequalities and the solution set.

5 (t-2) + 7 is greater than or equal to 17 - 2(t-4)
{{{5(t-2)+7>=17-2(t-4)}}}
{{{5t-10+7>=17-2t+8}}}
{{{5t-3>=-2t+25}}}
{{{5t+2t-3>=-2t+2t+25}}}
{{{7t-3>=0+25}}}
{{{7t-3>=25}}}
{{{7t-3+3>=25+3}}}
{{{7t>=28}}}
{{{7t/7>=28/7}}}
{{{t>=4}}}
By solution set, do you mean set builder notation or interval notation?
{t|t is a real number and t>=4} is set builder notation.
[t,infinity) is interval notation
:
If you need to show your answer on a number line:
<----------[========>>
-1,0,1,2,3,4,5,6,7,8,9
Happy Calculating!!!!