Equation vs inequality

What is the difference between the inequality?

1. An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.

What is solving an inequality?

“Solving” an inequality means finding all of its solutions. A “solution” of an inequality is a number which when substituted for the variable makes the inequality a true statement. Here is an example: Consider the inequality. When we substitute 8 for x, the inequality becomes 8-2 > 5.

What are the 5 inequality symbols?

What the five symbols mean:≠ = not equal to.> = greater than.< = less than.≥ = greater than or equal to.≤ = less than or equal to.

What are the four inequality symbols?

The 4 Inequalities

Symbol Words Example
> greater than x+3 > 2
< less than 7x < 28
greater than or equal to 5 ≥ x−1
less than or equal to 2y+1 ≤ 7

How do you simplify an inequality?

Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own. But these things will change direction of the inequality: Multiplying or dividing both sides by a negative number. Swapping left and right hand sides.

What are the rules of inequalities?

If you add the same number to both sides of an inequality, the inequality remains true. If you subtract the same number from both sides of the inequality, the inequality remains true. If you multiply or divide both sides of an inequality by the same positive number, the inequality remains true.

What does inequality mean?

1 : the quality of being unequal or uneven: such as. a : social disparity. b : disparity of distribution or opportunity.

How do you write an inequality with two variables?

To graph the solution set of an inequality with two variables, first graph the boundary with a dashed or solid line depending on the inequality. If given a strict inequality, use a dashed line for the boundary. If given an inclusive inequality, use a solid line.

Which inequality is correct?

For example y = 0, which is a value greater than −15, results in an untrue statement. 0 is not greater than 150. When dividing by a negative number, you must change the inequality symbol. The correct answer is y ≤ −15.

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