We solve for x the following inequality:
[tex]-6>-7-4x\text{.}[/tex]1) First, we sum 4x to both sides of the equation:
[tex]\begin{gathered} -6+4x>-7-4x+4x, \\ -6+4x>-7. \end{gathered}[/tex]2) Now, we sum 6 to both sides of the equation:
[tex]\begin{gathered} -6+4x+6>-7+6, \\ 4x>-1. \end{gathered}[/tex]3) Finally, dividing by 4 into both sides, we get:
[tex]x>-\frac{1}{4}\text{.}[/tex]Answer
The values of x that satisfies the inequality are:
[tex]x>-\frac{1}{4}[/tex]