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Inequality Calculator
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Inequality Calculator (compound inequalities calculator) is an online tool to find the value of unknown quantity X is greater or less than to a certain value. It can be called as inequality solver  as it compares two inequalities and solves it. If two inequality equations are given in the block provided, then it can easily solve that inequality equation and gives you the value of the variable so its a tool commonly known as solving inequalities calculator.

Below is given a default inequality, click "Solve". It will solve the inequality and gives you the value of the variable.

Steps for Inequality

Step 1 :

Observe the given inequality.

Step 2 :

Isolate the given variable by using inverse-operation and then solve for that variable.

Examples on Inequality

1. Solve the inequality : 3x + 4 > $\frac{6}{7}$?

Step 1 :

Given inequality: 3x + 4 > $\frac{6}{7}$

Step 2 :

Now multiply with 7 on both sides
(3x + 4) × 7 > ($\frac{6}{7}$) × 7
21x + 28 > 6
Subtract 28 on both sides
(21x + 28) - 28 > 6 - 28
21x > -22
Divide with 21 on both sides
$\frac{21 x }{21}$ > $\frac{-22}{21}$
x > 1.048

x > -1.048

2. Solve the inequality : 5x + 2 < 3

Step 1 :

Given inequality : 5x + 2 < 3

Step 2 :

Subtract 2 on both sides
(5x + 2) - 2 < 3 - 2
5x < 1
Divide with 5 on both sides
$\frac{5 x}{5}$ < $\frac{1}{5}$
x < 0.2

x < 0.2

3. Claudy has saved 20000 dollars in her saving account in the month of March. She wants to have at least 4000 dollars in the account by  end of the year. She withdraws 2000 dollars each month to pay for internet plans and bank loans. How many months she can withdraw money from her account?

Step 1 :

Let m = number of months she can withdraw money.

Step 2 :

20000 - 2000 m $\geq$ 4000
Divide both sides by 1000
20 - 2 m $\geq$ 4
Subtract 20 from each side
20 - 2 m - 20 $\geq$ 4 - 20
-2m $\geq$ -16
Multiply both sides by -1 (this operation reverses the inequality)
(-1)(-2m) $\leq$ (-1)(-16)
2m $\leq$ 16
Divide both sides by 2
$\frac{2m}{2}$ $\leq$ $\frac{16}{2}$
m $\leq$ 8

Claudy can withdraw money from her account for 8 months or less.

4. During an admission test Sujen scored 70, 85, 75 in the first three tests. She wants average for the test to be at least 77.5. There is one more test to take. How much she needs to score to achieve her target.

Step 1 :

Let m be the last score. Then the total score for the 4 tests will be 70 + 85 + 75 + x.

Step 2 :

Average score = $\frac{70 + 85 + 75 + x}{4}$
As average score to be at least 77.5
$\frac{70 + 85 + 75 + x}{4}$ $\geq$ 77.5
$\frac{230 + x}{4}$ $\geq$ 77.5
230 + x $\geq$ 310
X $\geq$ 310 – 230
X $\geq$ 80