Question

solve the linear inequality for m. graph your answer in the number line. then write the solution in inequality notation.
4m - 23 < -47
show your work here
hint: to add inequalities (<, >, ≤, ≥), type \less\ or \greater\

Explanation:

Step1: Add 23 to both sides

$4m - 23 + 23 < -47 + 23$
$4m < -24$

Step2: Divide by 4 on both sides

$\frac{4m}{4} < \frac{-24}{4}$
$m < -6$

Graph Description:

On a number line, draw an open circle at $-6$ (since the inequality is strict, no equality) and shade all values to the left of $-6$.

Answer:

Inequality notation: $m < -6$
Graph: Open circle at $-6$, shading to the left.