Solve and graph the inequality.
EXAMPLE:
3c
‐4 + c
* Remember:
If multiplying or dividing by a negative
!!!!!!"c!≤!"4!
≤
‐c
‐c
number, flip the inequality sign
‐2 c
‐4
≤
≤
‐2 ‐2
* Graphing:
If
or
, graph using a closed circle
≥
≥
c
2
If < or >, graph using an open circle
€
€
0 1 2 3 4
€
€
€
€
45.
3y + 6
2y
‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
≤
€
46.
w – 6 < ‐2w
‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
Part VII: Problem Solving
For each problem below, define a variable, write an equation and then solve.
47.
Bill N. Coyne has $48 more than his brother. If the sum of their money is
$234, how much money does each person have?
48.
Six times the sum of a number and eight is two less than four times the
number. Find the number.
11