we have the inequality
[tex]-27\leq4x-7[/tex]Solve for x
[tex]\begin{gathered} -27+27\leqslant4x-7+27 \\ 0\leqslant4x+20 \\ -20\leqslant4x+20-20 \\ -20\leqslant4x \\ -\frac{20}{4}\leq\frac{4x}{4} \\ \\ -5\leq x \\ rewrite \\ x\ge-5 \end{gathered}[/tex]