Question

Match the inequality to the graph of its solution.

Answer 1

case a) $c+7 \leq 3$

$c+7 \leq 3\\ c\leq3-7\\c\leq -4$

the solution is the interval-------> (-∞,-4]

the answer case a) in the attached figure

case b) $c-3 > 1$

$c-3 > 1\\c > 1+3\\c> 4$

the solution is the interval-------> (4,∞)

the answer case b) in the attached figure

case c) $c-7< 3$

$c-7< 3\\ c$

the solution is the interval-------> (-∞,10)

the answer case c) in the attached figure

Answer 2

The first graph is c. c - 7 < 3.
The second graph is a. c + 7 ≤ 3.
The third graph is b. c - 3 > 1.