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.
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.STEP 3:    The final step is to isolate the variable x by dividing the terms.

Divide both sides of the inequality by 7.STEP 4:    Now, bring the variable to the left hand side and the constant to the right hand side by reversing the inequality.
The solution tells us that any number less than -⁹/₇ will satisfy the inequality.

You finally get the solution set as:
which means “all x such that x is less than -⁹/₇” or it can be represented as: which means “the interval from minus infinity to minus -⁹/₇”.