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# Solve each inequality and graph its solution. 2m-8(1-8m)>-3m-8

Solve each inequality and graph its solution. 2m-8(1-8m)>-3m-8

## Research, Knowledge and Information :

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### A

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## Suggested Questions And Answer :

### Solve the inequality: 4>-1+x/3

Add 1 to each side so as to separate knowns from unknowns: 5>x/3. Multiply through by 3: 15>x. Turn this round: x<15 and that's the answer. To graph the result you only need a straight line representing x. Mark the point 15. Everything to the left of that point (negative side) represents the solution x<15. Note that the actual point where x=15 is not included in the solution, since x must be strictly less than 15. To show that the answer is correct pick a value of x less than 15, say 12, and substitute into the original inequality: 4>-1+12/3 is 4>-1+4 or 4>3, which is true. Pick a value of x bigger than 15, say 18, and 4>-1+6 or 4>5 isn't true, as we would expect, since we picked an x value outside the range of the solution. If we pick x=15 (out of range) we get 4>-1+5 or 4>4 which also isn't true.

### 2. Solve and graph. |4 – v| < 5 a.

a. 4-v < 5 and 4-v > (-5) b.  for both equations subtract 4 from both sides and divide by -1, remember when dividing by a negative you must flip the sign so, 4-v < 5 is -v < 1 and then v > -1 and 4-v > (-5) is -v > -9 and then v < 9 as a compound inequality it would be -1 Read More: ...

### I need help with my math homework!!

(7/2)(x-6) =-4x . . . 7(x-6) =-8x . . . 7x -42=-8x . . . 7x+8x=42 . . . 15x=42 . . . x=42/15=2.8

### solve polynomial inequality and graph the soulution set on a number line 5x^2-3x>8

p+9>-3 p>12 by graphing it on a number line.

dont know

### Solve the inequality 2x – 5 > 9 and Graph the solution set.

2x-5 > 9 2x > 14 x > 7 ............

### Solve each inequality and graph its solution. 2m-8(1-8m)>-3m-8

2m - 8(1 - 8m) > -3m - 8 2m - 8 + 64m > -3m - 8 66m - 8 > -3m - 8 69m - 8 > -8 69m > 0 m > 0 <-----(0)=====>> Note:  It's a circle at 0, not a dot, since we have > not >=

### Solve |-2x+3|+8>13 and graph the solution

When x<3/2, this function is -2x+11>13 so -2x>2 or -x>1 which is the same as x<-1 overriding the condition that x<3/2. So x<-1 is one solution. When x>3/2 the function is 2x-3+8>13; 2x>8 so x>4, which overrides x>3/2. So x>4 is another solution. The solution is x<-1 or x>4. For -1 Read More: ...

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