Solve the compound inequality: 13 < 4x - 7 < 25

Step-by-step explanation:

This is just like an equation or compound equation, the only difference is that when multiplying or dividing by a negative #, to flip the inequality signs. You can either solve this equation by breaking it into to equations:

13 < 4x -7

and

4x-7 < 25

And then put it together...

... Or you can solve it as a whole. I am going to solve it as a whole

13 < 4x-7 < 25                 Given

13+7 < 4x-7+7 < 25+7     Addition Property of Inequality (Add 7 to all sides)

20 < 4x < 32                   What's left

20/4 < 4x/4 < 32/4         Division Property of Inequality (Divide by 4 on all sides)

5 < x < 8                          Answer

Therefore x must be 6 or 7.

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step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3