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# solve -9 x+8<35 and -(1/4)x+2>=10

trying to solve these two problems

### 2 Answers by Expert Tutors

Carlos D. | Math and Spanish Tutor who caresMath and Spanish Tutor who cares
4.4 4.4 (91 lesson ratings) (91)
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I submit that these are NOT two problems, but one system of inequalities.

So the solution is   -3 < x < 32

You may be right, and I would agree if the OP would shed some light on this. One correction to make though is that you misread the second inequality. The answers should come out as:

x > -3 and x =< -32

Thus, x cannot be in the middle of the two numbers, there is no convergence.

Rizul N. | UNC-CH Grad For Math and Science TutorUNC-CH Grad For Math and Science Tutor
4.8 4.8 (12 lesson ratings) (12)
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-9x + 8 < 35

1. Subtracting or adding negative numbers does not have any effect on direction of sign.

-9x < 27

2. Remember that division or multiplication by negative number makes sign flip the opposite way

x > -3

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-(1/4)x +2 >= 10

1. adding or subtracting a negative number to the other side does not change direction of sign.

-(1/4)x >= 10-2

2.      -(1/4)x >= 8

3. Multiplying or dividing a negative number does change direction of sign and this applies to less than or equal to sign and the more than or equal to sign as well

x =< -32

Both problems are similar to each other. The only thing you have to keep in mind is when the direction of the sign changes.