Posted by **Jane** on Wednesday, April 11, 2012 at 11:29pm.

Please solve and explain how to solve the compound inequality:

4 < 4a +3 < 18

- math -
**Steve**, Thursday, April 12, 2012 at 4:43am
a compound inequality is just two inequalities. Solve each one.

4 < 4a+3

1 < 4a

1/4 < a

4a+3 < 18

4a < 15

a < 15/4

so, the solution is

1/4 < a < 15/4

or, you can indeed solve it as a combination, if it's relatively simple, as this one is.

4 < 4a+3 < 18

subtract 3 all across

1 < 4a < 15

divide by 4

1/4 < a < 15/4

## Answer this Question

## Related Questions

- algebra 2 - the 2 unequalities -26<4k-2 and 2k-1<6 A. Write a compound ...
- algebra - I get it all done and it is wrong please help solve this thanks. Solve...
- math - solve equation then check for extraneous solution please someone explain ...
- math - solve the compound inequalities as demostrated being careful of how a ...
- Algebra 2(check) cont.. - 1)solve the inequality -3(r-11)+15>_9 my answer = r...
- compound inequality - solve the compound inequalities show all math work ...
- Pre-Algebra - Can someone please show me how to solve these problems step-by-...
- Math ~CHECK MY WORK~ - With stars are my answers. Please check them if they are ...
- algebra - -8<=2x-4<2 solve the compound inequality can someone please ...
- math - Solve the compound inequality. -3 < 2x - 3 < 5