Given:
The inequality is
[tex]-10+8x<6x-4[/tex]
To find:
The missing step in solving the given inequality.
Solution:
Step 1: The given equation.
[tex]-10+8x<6x-4[/tex]
Step 2: Subtract 8x from both sides.
[tex]-10+8x-8x<6x-4-8x[/tex]
[tex]-10<-2x-4[/tex]
Step 3: Add 4 on both sides.
[tex]-10+4<-2x-4+4[/tex]
[tex]-6<-2x[/tex]
Step 4: Divide both sides by -2 and change the sign of inequity as we divide the inequality by a negative number.
[tex]\dfrac{-6}{-2}>\dfrac{-2x}{-2}[/tex]
[tex]3>x[/tex]
Therefore, the missing step is [tex]3>x[/tex].
