SOLVING INEQUALITIES WORKSHEET
About "Solving Inequalities Worksheet"
Solving Inequalities Worksheet :
Worksheet given in this section is much useful to the students who would like to practice problems solving inequalities.
Before look at the worksheet, if you would like to know the basic stuff about solving inequalities,
Solving Inequalities Worksheet - Problems
Problem 1 :
Solve the following inequality :
x - 5 < 4
Problem 2 :
Solve the following inequality :
-x + 2 > 7
Problem 3 :
Solve the following inequality :
5x - 4 ≥ 4x + 6
Problem 4 :
Solve the following inequality :
4z + 8 ≤ 12
Problem 5 :
Solve the following inequality :
-m + 3 ≥ -4m + 6
Problem 6 :
Solve the following inequality :
-x + 2 > 7
Problem 7 :
Solve the following inequality :
2 > 3x - 10
Problem 8 :
Solve the following inequality :
16 - 2x ≤ 28
Solving Inequalities Worksheet - Solutions
Problem 1 :
Solve the following inequality :
x - 5 < 4
Solution :
Solve for x :
x - 5 < 4
Add 5 to each side.
x < 9
Problem 2 :
Solve the following inequality :
-x + 2 > 7
Solution :
Solve for x :
-x + 2 > 7
Subtract 2 from each side.
-x > 5
Multiply each side by -1.
x < -5
Problem 3 :
Solve the following inequality :
5x - 4 ≥ 4x + 6
Solution :
Solve for x :
5x - 4 ≥ 4x + 6
Subtract 4x from each side.
x - 4 ≥ 6
Add 4 to each side.
x ≥ 10
Problem 4 :
Solve the following inequality :
4z + 8 ≤ 12
Solution :
Solve for z :
4z + 8 ≤ 12
Subtract 8 from each side.
4z ≤ 4
Divide each side by 4.
z ≤ 1
Problem 5 :
Solve the following inequality :
-m + 3 ≥ -4m + 6
Solution :
Solve for m :
-m + 3 ≥ -4m + 6
Add 4m to each side.
3m + 3 ≥ 6
Subtract 3 from each side.
3m ≥ 3
Divide each side by 3.
m ≥ 1
Problem 6 :
Solve the following inequality :
-x + 2 > 7
Solution :
Solve for x :
-x + 2 ≥ 7
Subtract 2 from each side.
-x > 5
Multiply each side by -1.
x < -5
Problem 7 :
Solve the following inequality :
2 > 3x - 10
Solution :
Solve for x :
2 > 3x - 10
Add 10 to each side.
12 > 3x
Divide each side by 3.
4 > x
Interchange the quantities on the left and right side.
x < 4
Problem 8 :
Solve the following inequality :
16 - 2x ≤ 28
Solution :
Solve for x :
16 - 2x ≤ 28
Subtract 16 from each side.
-2x ≤ 12
Divide each side by -2.
x ≥ -6
After having gone through the stuff given above, we hope that the students would have understood, "Solving Inequalities Worksheet".
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
