Inequalities are used to represent unequal expressions.
The solution of the inequality [tex]\frac x2 + \frac 14 < \frac 34[/tex] is [tex]x <1[/tex]
The inequality is given as:
[tex]\frac x2 + \frac 14 < \frac 34[/tex]
Collect like terms
[tex]\frac x2 <- \frac 14 + \frac 34[/tex]
Take LCM
[tex]\frac x2 < \frac{-1 + 3}4[/tex]
[tex]\frac x2 < \frac{2}4[/tex]
[tex]\frac x2 < \frac 12[/tex]
Multiply through by 2
[tex]x <1[/tex]
Hence, the solution to [tex]\frac x2 + \frac 14 < \frac 34[/tex] is [tex]x <1[/tex]
See attachment for the graph of the solution.
Read more about inequalities at:
https://brainly.com/question/15137133
