Download Worksheet 2.9, 2.10

MATH 0310
NAME (Print)__________________________
Worksheet 2.9, 2.10
DATE___________________SECTION________
Graph the inequality on a number line. Then write the solutions in interval notation.
1.
x4
,
interval notation
Graph the set of numbers given in interval notation. Then write an inequality statement in x describing
the numbers graphed.
2.
 , 5
,
inequality
Solve the inequality. Graph the solution set and write it in interval notation.
3.
4  2m  3  m  4m  6
,
interval notation
Solve the compound inequality. Graph the solution set and write it in interval notation.
4.
14  2  2 x  1  0
,
interval notation
5. SET UP THE INEQUALITY AND SOLVE THIS PROBLEM. Three less than twice a number is
greater than or equal to the difference between the number and 5.
6. SET UP THE INEQUALITY AND SOLVE THIS PROBLEM. Twice a number is between -4 and 6,
including 6 but not including -2.
Solve each compound inequality. Then graph the solutions, and write the solutions in interval notation.
7.
x  2
or x  3
8.
x 1
and
,
x5
,
interval notation
9.
x  2  3
or
2x  8
,
interval notation
10.
6  6x  3
and
x
 1
5
,
interval notation
interval notation