$ a \gt -63$
Work Step by Step
We first subtract 1 on both sides to obtain that $-1/9 a \lt 7$. In order to cancel out a fraction that is being multiplied by a variable, we multiply by the reciprocal of the fraction. Thus, we multiply both sides of the inequality by -9/1 to obtain that $ a \gt -63$ (Note, the direction of the inequality symbol is flipped because we multiply by a negative).