Solve for x: |x−3|

Question

Solve for x: |x−3|<7

anonymous · Answer

-7<x-3<7
-4<x<10

anonymous · Answer

(-4,10)

anonymous · Answer

Dont you have to set it to 2 dfft eqations like x-3 less tahn 7 adn tehn x-3 is greater tahn -7?

anonymous · Answer

that's exactly what raheen did, except he combined them, so it looks like one single inequality, but they are actually two inequalities, that is why you have the "less than" sign twice

anonymous · Answer

oh i  see. sorry if i learn it one way i have a hard tiem seeing it a dfrt way.

anonymous · Answer

can you help me with a  problem @pumpkin10

anonymous · Answer

yes

anonymous · Answer

how do you solve for x in : 12x^2 = 3x

anonymous · Answer

12x² = 3x

divide both sides by 3x

4x = 1

divide both sides by x

x = 1/4

anonymous · Answer

sorry, i meant divide by 4 on the second part

anonymous · Answer

omg i cant beleive i didnt get taht..thanks.

anonymous · Answer

$$-7<x-3<7$$$$-4<x<10$$

anonymous · Answer

so when raheen wrotre (-4,10) is taht teh solution?

anonymous · Answer

(-4, 10) is written in interval notation. If you did not learn that yet, it is fine to write:
-4<x<10.

anonymous · Answer

oh i see, its jsut anotehr way to write it...thanks

anonymous · Answer

so either or is fine as an answer?

anonymous · Answer

Yes, but it depends on what the instructions say, or what your teacher wants.

anonymous · Answer

ok tahnks.