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How to Find & Graph Inequalities for 8th Grade Math

Inequalities are a very basic form of algebra, and are defined as an unspecified number, usually portrayed as "x" is either less than or greater than another number (symbolized with < and >). Two other options for inequities involve the combination of either the less than or greater than symbol with the equal sign. These symbols are identified by the less than or greater than symbol with a line underneath, and simply stand for either less than or equal to, or greater than or equal to.

Instructions

    • 1

      Determine the type of inequality presented. The type of inequality can be determined by the symbol between the x and the integer. For example, x < 5 is a less-than inequality.

    • 2

      Draw a number line. This is a single line with an arrow at each end. Place five to 11 dashes on the line, and make sure to use an odd number of dashes so that the center dash has an equal number of dashes on both sides of it.

    • 3

      Write the inequality's integer below the center dash . For example, if the inequality was x > 8, you will write "8" below the middle line. Proceed to fill in each line with the proceeding and preceding integers. Taking the example on a number line with five dashes, the numbers in below each dash would read as: 6, 7, 8, 9, 10.

    • 4

      Draw a circle on the the inequality's integer's dash on the number line number line. If the inequality is a less than or greater than inequality you will leave the circle unfilled. If the inequality is a less than or equal to or greater than or equal to, you will fill in the circle.

    • 5

      Draw an arrow in the direction represented by the inequality. For less-than inequalities, (including less than or equal to) you will draw a line heading left on the the number line. For greater-than inequalities (including greater than or equal to), you will draw a line heading right along the number line.

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