Question

prepare for writing and solving inequalities
1 think about what you know about inequalities. fill in each box.
use words, numbers, and pictures. show as many ideas as you can.
in my own words
my illustrations
inequality
examples
non-examples

Explanation:

1. In My Own Words: An inequality is a mathematical statement that compares two values, showing they are not equal, or one is greater/less than (or equal to) the other.
2. My Illustrations: Number lines are standard visuals for inequalities:

• For $x > 3$: Draw a number line, put an open circle at 3, and shade all values to the right.
• For $y \leq -1$: Draw a number line, put a closed circle at -1, and shade all values to the left.

1. Examples: Statements using inequality symbols ($>, <, \geq, \leq,

eq$) that compare values.

1. Non-Examples: Mathematical statements that show exact equality, not a comparison of unequal values.

Answer:

In My Own Words

A mathematical statement that compares two values to show they are not equal, or one is greater than, less than, greater than or equal to, or less than or equal to the other.

My Illustrations

• A number line with an open circle at 5 and shading to the right (to represent $x > 5$)
• A number line with a closed circle at -2 and shading to the left (to represent $y \leq -2$)

Examples

• $2x + 5 > 11$
• $7 \leq 3 + z$
• $15 - 4y < 3$
• $a

eq 9$

Non-Examples

• $4 + 3 = 7$
• $2x = 10$
• $y - 8 = 1$
• $6^2 = 36$