Inequalities Inequalities- The important thing to remember about inequalities is that we are dealing with instances where one quantity does not equal another quantity.

Math is a language Important symbols It is important to know what each of the following symbols mean when dealing with inequalities. This symbol can be read as either greater than or less than depending on which quantity to you are referring to. It can also go either direction > or < For example: X > 5 is different than X < 5 The first one states that x is greater than five. The second one states that X is less than five.

Math is a language Important symbols It is important to know what each of the following symbols mean when dealing with inequalities. By placing a line underneath the < or > symbols you are then changing the sentence to mean either greater than or equal to or less than or equal to. Example X > 5 is different than X < 5. The first one states that X is greater than or equal to 5 and the second one states that X is less than or equal to 5.

Math is a language Important symbols It is important to know what each of the following symbols mean when dealing with inequalities. We can now use the previous symbols to show the inequality on a number line. There are a few symbols on the number line that we need to be aware of as well. A dot that is filled in means equal to. A dot that is not filled in means not equal to. Arrow on a number line tell us the direction the inequality is describing. Either less than or equal to.

We can now start to answer questions We can now start to answer questions. Draw on a number line X > 5 (The math sentence above says, the variable X is greater than five). Notice that the circle is not filled in because it is not equal to five just greater. Also the arrow does not end in a dot indicating that X could be anything greater than five to infinity.

We can now start to answer questions We can now start to answer questions. Draw on a number line X > 5 (The math sentence above says, the variable X is greater than or equal to five). Notice that the circle is filled in because X can be equal to five and greater. Also the arrow does not end in a dot indicating that X could be anything greater than five to infinity.

We can now start to answer questions We can now start to answer questions. Draw on a number line X < 5 (The math sentence above says, the variable X is less than 5). Notice that the circle is not filled in because X is less than five. Also the arrow does not end in a dot indicating that X could be anything greater than five to infinity.

We can now start to answer questions We can now start to answer questions. Draw on a number line X < 5 (The math sentence above says, the variable X is less than or equal to 5). Notice that the circle is filled in because X can be less than or equal to five. Also the arrow does not end in a dot indicating that X could be anything greater than five to infinity.

Draw on a number line X < 2(5-2) (It is possible to incorporate the order of operations into these types of problems. Remember to solve what is in the parentheses first then move to the outside. Step 1: X < 2(3) Step 2: X < 6 The math sentence above is telling us that X is less than or equal to six. Step 3 : Create a number line that matches the math sentence.

Practice Draw on a number line and write out the math sentence the inequality represents. X > 7 B) X > 7 C) X < 7 X < 7 E) X < 2(3 + 5) F) X + 3 > 2(7 +9)