4. Solve the following equation and write your solution as a solution set.
3 + |7-4x| = 15
5. Solve the following inequality and write the solution set in interval notation.
|8x+2| < 14
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4. Solve the following equation and write your solution as a solution set.
3 + |7-4x| = 15
5. Solve the following inequality and write the solution set in interval notation.
|8x+2| < 14
Quote:
Originally Posted by mjfaris
3 + |7-4x| = 15
|7-4x| = 15 -3
|7-4x| = 12
so 7-4x = 12 or 7-4x = -12
x = -5/4 , x = 19/4
x ={-5/4,19/4}
the inequality
|8x+2| < 14
|x| < a that means -a< x < a
-14 < 8x+2 < 14
-16 < 8x < 12
-2 < x < 3/2
$\displaystyle x\in$(-2 , 3/2)
