Use both the addition and multiplication properties of inequality to solve the inequality and graph the set on a number line. \( -4 x-22>10 \) The solution set is \( \square \). (Type your answer in interval notation.)

To solve the inequality \( -4x - 22 > 10 \), we first isolate \( x \) using the addition property of inequality. Adding 22 to both sides gives us: \[ -4x > 32 \] Next, we apply the multiplication property of inequality. Since we are multiplying by a negative number (-4), we must reverse the inequality sign when dividing by -4: \[ x < -8 \] The solution set is \( (-\infty, -8) \). Now, when graphing this on a number line, draw an open circle at -8 and shade everything to the left to represent that \( x \) can take any value less than -8.