Step 1
Given;
[tex]-2x+3>x-18[/tex]Required; To solve the inequality
Step 2
Bring like terms together
[tex]-2x-x>-18-3[/tex]Step 3
Simplify
[tex]-3x>-21[/tex]Step 4
Multiply both sides by -1
[tex]-3x(-1)<-21(-1)_{}[/tex]Step 5
Simplify
[tex]3x<21[/tex]Step 6
Divide by 3 and get the answer
[tex]\begin{gathered} \frac{3x}{3}<\frac{21}{3} \\ x<7 \\ In\text{ in}terval\text{ notation;} \\ (-\infty,7) \end{gathered}[/tex]Hence, the exact answer in interval notation is;
(-∞,7)
