Solve an Inequality

Question
Solve the inequality 4 > (7x+21)/3

Answer
STEP 1:    To solve the given equation means to find the value of x that will satisfy the inequality. As you can see, the right side of the equation is a fraction. So, the first step is to remove it.

Multiply both parts of the inequality by 3.
multiply both parts of inequality with 3

STEP 2:    What you need to do next is to bring the constants on one side and the variable term on the other side of the inequality.

Divide both sides of the inequality by 7.
subtract both parts of inequality with 21
STEP 3:    The final step is to isolate the variable x by dividing the terms.

Divide both sides of the inequality by 7.
divide both parts of inequality with 7
STEP 4:    Now, bring the variable to the left hand side and the constant to the right hand side by reversing the inequality.
bringing x to the left

The solution tells us that any number less than -9/7 will satisfy the inequality.

You finally get the solution set as:
the solution

which means “all x such that x is less than -9/7” or it can be represented as:

the solution
which means “the interval from minus infinity to minus -9/7”.

Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Algebra Library.

iPod Touch & iPhone
iPad
Graphs & Equations
Algebra
Exponents
Symmetry
Fractions
Measurements
Interest
Angles
Triangles
Useful Resources