Inequalities are used to represent unequal expressions.
The solution is: [tex]-3 < x \le 6[/tex]
The inequality is given as:
[tex]-9 < 4x + 3 \le 27[/tex]
Subtract 3 from all sides
[tex]-9 - 3 < 4x + 3 - 3 \le 27 - 3[/tex]
This gives
[tex]-12 < 4x \le 24[/tex]
Divide all sides by 4
[tex]-\frac{12}{4} < \frac{4x}{4} \le \frac{24}4[/tex]
This gives
[tex]-3 < x \le 6[/tex]
Hence, the inequality that represents the solution of x is: [tex]-3 < x \le 6[/tex]
Read more about inequalities at:
https://brainly.com/question/15137133
