What is the number line root method in the solution of high order inequality in high mathematics Wha

That is, if the factor is to the odd power, it must be passed through when the number line is rooted, and if the factor is to the even power, it must be worn without it.

"Numeracy Root Method" is also known as "Numeracy Threading Root Method".

Step 1: Shift the inequality through its many properties so that the right side is 0. (Note: Be sure to make sure that the coefficient before x is positive).

For example, change x 3-2 x 2-x+2>0 to (x-2)(x-1)(x+1)>0

Step 2: Replace the unequal sign with an equal sign to solve all the roots.

For example, the root of (x-2)(x-1)(x+1)=0 is: x1=2, x2=1, x3=-1

Step 3: Label each root on the number line from left to right.

For example: -1 1 2

Step 4: Observe the unequal sign, if the equal sign is ">", take the range above the number axis and through the line; If the equal sign is "<", take the range below the number line and within the line.

For example, if you find the root of (x-2)(x-1)(x+1)>0.

On the number line, we get: -1 1 2

Draw a thread: Start from the top right to thread the roots.

Because the unequal sign Wei ">" is taken above the number axis, and the range within the line is crossed. Namely: -12.

For example, inequalities (x-1)(x-2)(x-3)> 0 have a positive highest order coefficient, and each factor on the left is greater than 0 when x>3

Then the right side of the largest root of the number axis root method is positive, and from right to left, positive and negative alternately.

If the highest order coefficient is negative, the positive and negative of the root method will be reversed.

"Digital-axis root-piercing method" is also known as "number-axis rooting method".

Step 1: Shift the inequality through its many properties so that the right side is 0. (Note: Be sure to ensure that the coefficient before x is positive).

For example, change x 3-2 x 2-x+2>0 to (x-2)(x-1)(x+1)>0

Step 2: Replace the unequal sign with an equal sign to solve all the roots.

For example, the root of (x-2)(x-1)(x+1)=0 is: x1=2, x2=1, x3=-1

Step 3: Label each root on the number line from left to right. For example: -1

Step 3: Draw a line through the root: Take the number axis as the standard, pass through the root from the upper right of the "rightmost root", draw a line to the bottom left, and then go up and down through the "second right heel" to accompany the return, one up and one down through each root in turn.

Step 4: Observe the unequal sign, if the equal sign is ">", take the range above the number axis and through the line; If the equal sign is "<", take the number axis below and accompany the sail within the range of the line.

For example, if you find the root of (x-2)(x-1)(x+1)>0.

Root on the number line yields: -1

Draw a thread: Start from the top right to thread the roots.

Because the unequal sign Wei ">" is taken above the number axis, and the range within the line is crossed. Namely: -12.

"Numeracy Root Method" is also known as "Numeracy Threading Root Method".

Step 1: Shift the inequality through its many properties so that the right side is 0. (Note: Be sure to make sure that the coefficient before x is positive).

For example, change x 3-2 x 2-x+2>0 to (x-2)(x-1)(x+1)>0

Step 2: Replace the unequal sign with an equal sign to solve all the roots.

For example, the root of (x-2)(x-1)(x+1)=0 is: x1=2, x2=1, x3=-1

Step 3: Label each root on the number line from left to right.

For example: -1 1 2

Step 3: Draw a line through the root: Take the number axis as the standard, pass through the root from the upper right of the "rightmost root", draw a line to the bottom left, and then go up through the "second right heel", and pass through each root in turn.

Step 4: Observe the unequal sign, if the equal sign is ">", take the range above the number axis and through the line; If the equal sign is "<", take the range below the number line and within the line.

For example, if you find the root of (x-2)(x-1)(x+1)>0.

On the number line, we get: -1 1 2

Draw a thread: Start from the top right to thread the roots.

Because of the unequal sign Wei ">", it is taken above the number axis of Yu Qi and the range within the line. i.e.: -1