How do you solve or compound inequalities

When a compound inequality is written without the expressed word “and” or “or,” it is understood to automatically be the word “and.” Reading { x|–3 < x < 4} from the “ x” position, you say (reading to the left), “ x is greater than –3 and (reading to the right) x is less than 4.” The graph of the solution set is shown …

How do you know if a compound inequality is AND or OR?

When a compound inequality is written without the expressed word “and” or “or,” it is understood to automatically be the word “and.” Reading { x|–3 < x < 4} from the “ x” position, you say (reading to the left), “ x is greater than –3 and (reading to the right) x is less than 4.” The graph of the solution set is shown …

How do you know if its or or in math?

1 Expert Answer The “and” or “or” depends on where your answers lie. For example, if you end up with x > 5, x < 9, you answer is x is greater than 5 and less than 9, because it is possible for your x-value to be both, take 6, for example.

What is a compound inequality and how is it solved?

A compound inequality contains at least two inequalities that are separated by either “and” or “or”. … A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.

What is the difference between and and/or in inequalities?

The key difference is with “or”, x only needs to satisfy one of the inequalities. With “and”, x needs to satisfy both.

How do you tell if an inequality is open or closed?

When graphing a linear inequality on a number line, use an open circle for “less than” or “greater than”, and a closed circle for “less than or equal to” or “greater than or equal to”.

How can you tell if an inequality?

To determine whether an inequality is true or false for a given value of a variable, plug in the value for the variable. If an inequality is true for a given value, we say that it holds for that value. Example 1. Is 5x + 3≤9 true for x = 1 ?

What is a compound inequality in math?

A compound inequality is an inequality that combines two simple inequalities.

When you see the word or in a compound inequality What type of a solution would you have?

When the two inequalities are joined by the word or, the solution of the compound inequality occurs when either of the inequalities is true. The solution is the combination, or union, of the two individual solutions.

What is an inequality in math example?

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≥ b means that a is greater than or equal to b.

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How do you write an inequality example?

• a. A number c is less than 4.
• An inequality is c < 4.
• b. A number k plus 5 is greater than or equal to 8.
• An inequality is k + 5 ≥ 8.
• c. Four times a number q is at most 16.
• An inequality is 4q ≤ 16.

How do you write and solve an inequality from a word problem?

1. Read through the entire problem.
2. Highlight the important information and key words that you need to solve the problem.
3. Identify your variables.
4. Write the equation or inequality.
5. Solve.
6. Write your answer in a complete sentence.
7. Check or justify your answer.

How do you solve an inequality question?

1. Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.
2. But these things will change direction of the inequality: …
3. Don’t multiply or divide by a variable (unless you know it is always positive or always negative)

Which is a correct first step in solving the inequality?

Answer: The first step in solving the given inequality is to use the distributive property and open the brackets, that is, -8x + 4 > 5 – 3x.

How do you solve and graph an inequality?

Plug your slope and a point into the formula y = mx + B, in which “m” is the slope, (x, y) is a point on the line and “b” is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y = x/2.