Question

solve the linear inequality for c and graph the answer in the number line. then write the solution in inequality notation.
$c - 3 < -3$
show your work here
hint: to add inequalities (<, >, ≤, ≥), type \less\ or \greater\
(number line image with -15, -10, -5, 0, 5, 10, 15 marked, and some blue highlighting)
toggle point
toggle line
solution:

Explanation:

Step1: Isolate c by adding 3 to both sides

$c - 3 + 3 < -3 + 3$

Step2: Simplify both sides

$c < 0$

Step3: Graph on number line

• Draw an open circle at 0 (since the inequality is strict, not inclusive).
• Shade all values to the left of 0 (representing numbers less than 0).

Answer:

Inequality notation: $c < 0$
Graph description: Open circle at 0, shading to the left on the number line.