In this video you can learn how to solve linear inequalities. Understand the basics of inequalities and linear equations. In an inequality, we say that that one number is greater than (>) another number or less than (<) another. On occasion we say that something is greater than or equal to, or less than or equal to. In a basic linear equation, we solve for the variable of x by subtracting the value from the opposite side or the = sign. Start by writing your equation on a sheet of paper. It will look something like this:x + 2 > 6In this equation we will be solving for x. We want to know what x is greater than (>). We know this because the open side of the inequality is facing the number that will be the greatest of the two. Pretend that the inequality signin this case the > signis an = sign for the time being. When you do this, the original equation looks just like a traditional linear equation. The new form of the equation would be written as:x + 2 = 6. Solve for x by subtracting 2 from both sides of the = sign. It looks like this:x + 2  2 = 6  2Completing this equation, we find that the 2s on the left side cancel each other out, and the subtraction of 2 from the 6 on the right side of give us 4:x = 4. Convert it back into an inequality. In Step 3 we exchanged the > for the = sign to make the equation look like a traditional linear equation, but now it must be turned back into an inequality. Do this by dropping the = and replacing it with the >. From this we now know that x does not equal for but that:x > 4 (x is greater than 4)For this equation, x can be any number that is larger than 4, so x could be 5, 6, 7 and so on.
 Hot
 Latest

How To: Remember "greater than" & "less than" symbols

How To: Find the Percent Given Two Numbers

How To: Use ">" (greater than) and "<" (less than) symbols

How To: Find a number given Its percent

How To: Find the Volume of Composite Figures (Also Called Composite Shapes)

How To: Do long division without a calculator

How To: Find the slope of a line given 2 points with fractions

How To: Find the area of a parallelogram using geometry

How To: Find the coordinate of a point

How To: Calculate Faster Than a Calculator

How To: Write a logarithm as a sum or difference of logarithms

How To: Find the area of a circle when you know the diameter

How To: Find the slope from a set of points

How To: Simplify cube roots

How To: Spend Money on a Graphing Calculator? Nah—Just Use This WebBased TI Emulator

How To: Factor a trinomial with negative leading coefficient

How To: Find the area of a triangle when given 2 sides & angle

How To: Calculate Type I (Type 1) errors in statistics

How To: Add ounces and pounds together in basic mathematics

How To: Calculate the area of a parallelogram

How To: Remember "greater than" & "less than" symbols

How To: Find the Percent Given Two Numbers

How To: Use ">" (greater than) and "<" (less than) symbols

How To: Find a number given Its percent

How To: Find the Volume of Composite Figures (Also Called Composite Shapes)

How To: Do long division without a calculator

How To: Find the slope of a line given 2 points with fractions

How To: Find the area of a parallelogram using geometry

How To: Find the coordinate of a point

How To: Calculate Faster Than a Calculator

How To: Write a logarithm as a sum or difference of logarithms

How To: Find the area of a circle when you know the diameter

How To: Find the slope from a set of points

How To: Simplify cube roots

How To: Spend Money on a Graphing Calculator? Nah—Just Use This WebBased TI Emulator

How To: Factor a trinomial with negative leading coefficient

How To: Find the area of a triangle when given 2 sides & angle

How To: Calculate Type I (Type 1) errors in statistics

How To: Add ounces and pounds together in basic mathematics

How To: Calculate the area of a parallelogram
Be the First to Comment
Share Your Thoughts