How do you know if an inequality is correct?

How do you know if an inequality is correct?

Just as you can check the solution to an equation, you can check a solution to an inequality. First, you check the end point by substituting it in the related equation. Then you check to see if the inequality is correct by substituting any other solution to see if it is one of the solutions.

What is the meaning of greater than or equal to?

“Greater than or equal to”, as the name suggests, means something is either greater than or equal to some other thing. “Greater than or equal to” is represented by the symbol ” ≥ “. For example, x≥−2 x ≥ − 2 means the value of x should be greater than or equal to −2 .

Is at most greater than or equal to?

sentence meaning of sentence equivalent sentence
x is at least k the least x is allowed to be is k ; it can be k or any number greater than k x≥k
x is at most k the most x is allowed to be is k ; it can be k or any number less than k x≤k

What means at least?

phrase. You use at least to say that a number or amount is the smallest that is possible or likely and that the actual number or amount may be greater. The forms at the least and at the very least are also used.

What is a number less than?

The greater than symbol is >. So, 9>7 is read as ‘9 is greater than 7’. The less than symbol is <. Two other comparison symbols are ≥ (greater than or equal to) and ≤ (less than or equal to).

How do you type the greater than sign?

Creating the > symbol on a U.S. keyboard On English PC and Mac keyboards, the greater than symbol is on the same key as the period. Pressing and holding down the Shift , and then pressing > creates the greater than symbol.

What does greater than or equal to look like on a number line?

We have to reverse the direction of the inequality, when we multiply by a negative value, in order to maintain a “true” statement. 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 do you find an inequality?

These things do not affect the direction of the inequality:

  1. Add (or subtract) a number from both sides.
  2. Multiply (or divide) both sides by a positive number.
  3. Simplify a side.

How do you underscore a letter?

The underscore symbol shares a key with the hyphen symbol, and it’s found to the right of the “0” key on the row above the letters. On Windows or Mac computers, press “Shift” and the “hyphen” key to type an underscore.

Is at least an inequality sign?

For inequalities like ‘less than or equal to’ we use this symbol: ≤. For inequalities with ‘at least’, we use the ‘greater than or equal to’ symbol.

Why does the inequality sign flip?

Much like when you divide by a negative number, the sign of the inequality must flip! Here’s why: When you multiply both sides by a negative value you make the side that is greater have a “bigger” negative number, which actually means it is now less than the other side!

Which way does greater than sign go?

An easy way to remember which symbol is which is to remember that the open end of the symbol is always facing the bigger number and the arrow points to the small number. Another way to remember the greater than and less than signs is something that you may remember from grade school: the Alligator Method.

Is a true inequality?

An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.

What makes an inequality true?

Equations and Inequalities – Inequalities – First Glance. Just like with equations, the solution to an inequality is a value that makes the inequality true. You may multiply or divide both sides of an inequality by any positive number.

How do you show where an inequality is true on a number line?

To plot an inequality, such as x>3, on a number line, first draw a circle over the number (e.g., 3). Then if the sign includes equal to (≥ or ≤), fill in the circle. If the sign does not include equal to (> or <), leave the circle unfilled in.

What is the first step to solve this inequality?

Equations and Inequalities – Two-step equations and inequalities – First Glance. It takes two steps to solve an equation or inequality that has more than one operation: Simplify using the inverse of addition or subtraction. Simplify further by using the inverse of multiplication or division.