Solve the following inequalities and mark the set of solutions on the number line. （1） y 1 3 y 1

y+1/3-y-1/2≥y-1/6

y-y-y-1 6+1 2-1 3 (move the term, move the unknown to the left, move the constant term to the right, note the change).

y 0 (merge similar items).

y 0 (a negative sign before an unknown number, remember to change the unequal sign when divided by -1).

2+3（x+1）＞3x-1/4

2+3x+3 3x-1 4 (brackets).

3x-3x-2-3-1 4 (move the term, move the unknown to the left, move the constant term to the right, note the change).

0 -21 4 (There are two possibilities for unknowns to be eliminated: 1If the solved inequality is correct, then all real numbers can be solved; 2.If not, there is no solution).

ps: In fact, solving inequalities is exactly the same as solving equations, they are all according to the parentheses, merging similar terms, and simplifying a few steps, but there are several special cases for the answers to be solved in the final solution of inequalities: the unknown is preceded by a negative sign, and remember to change the direction of the unequal sign when dividing by -1; There are two possibilities for unknowns to be eliminated:

1.If the solved inequality is correct, then all real numbers can be solved; 2.If not, there is no solution).

y+1 3 - y-1 2 y-1 6 <***** Write it right? y-y=0

1/3-1/2+1/6≥y

y 02+3(x+1) 3x-1 4 <***** what is this? After elimination, 3x is gone.

2+3x+3>3x-1/4

3x-3x>-1/4-2-3

2x 3 Behs 1

2x ＜－4

x Sell Lu 6 If the regret distribution is helpful to you, please give and praise, thank you for pulling I wish you good progress in learning!

(1) Remove the parentheses, 6-3x-3 1, shift the term to obtain, -3x 1-6+3, merge the same kind of term, -3x -2, the coefficient is 1, x 2 3

It is represented on the number line as follows:

2） 3(x-2)+8＞2x①

x+1 3x-x-1 2, by , x -2, by , x -1, on the number line, is expressed as follows:

So, the solution set of the inequality group is -2 x -1

Remove the parentheses, 3[y-2y+14] 4y

Remove the middle brackets, 3y-6y+42 4y

Shift the term to obtain 3y-6y-4y -42, merge the same term to obtain -7y -42, and reduce the coefficient of x to 1, x 6

1）6-3（x+1）＜1，6-3x-3＜1，3x＜1-6+3，3x＜-2，x＞2

The set of solutions representing inequalities on the number line is:

2) The solution set of inequality 3-x 0 is: x 3, the solution set of inequality 4x+1 x+7 is: x 2, the solution set of the inequality group is: x 2, and the solution set representing the inequality group on the number line is:

1+2x＜3+x①5x≥4x?1, from : x 2, from : x -1, the set of solutions of the group of non-scattered equations is -1 x 2, and the set of solutions of the group of inequalities is expressed on the number axis of the punch letter grip as:

（1）5（1+2x）+2（1-3x）＞-45+10x+2-6x＞-4

4x＞-11

x -11 represents the solution set on the number line as:

(2) Solve inequality 2x-1

5x+1 gets x -1

Solve the inequality 5x-1 3(x+1) to get x 2 The set of solutions for the group of inequalities is -1 x 2

Represent the solution set on the number line as:

1) Remove the parentheses, 8-8x 20-5x+3, move the term to obtain, -8x+5x 20+3-8, merge the same kind of terms to obtain, -3x 15, the coefficient of x is 1, x -5, on the number line is expressed as:

2) denominator, 3 (3y-1) 10y+5-6, deparentheses, 9y-3 10y+5-6, shift term, 9y-10y 5-6+3, merge similar terms to obtain, -y 2, the coefficient of x is 1, y -2, expressed on the number line as: