<span>1. | 2x |=4 assume 2x=4 and 2x=-4 divide by 2 x=2 and -2
2. | x-3 |=7 assume x-3=7 and - 7 add 3 to both sides of each equation x=10 and -4
3. | 2x+5 |=21 assume 2x+5=21 and 2x+5=-21 minus 5 both sides 2x=16 and 2x=-26 divide by 2 x=8 and x=-13
4. 3 |x+4|= 24 divide both sides by 3 |x+4|=8 assume that x+4=8 and x+4=-8 minus 4 both sides x=4 and x=-12
5. | x+2 | = 2x+4 assume x+2=2x+4 and x+2=-(2x+4)=-2x-4 minus 2 both sides x=2x+4 and x=-2x-6 first one, minus 2x both sides and multiply by -1 2nd one, add 2x to both sides and divide by 3 x=-4 and -2
6.| x+7 |=0 x+7=0 minus 7 x=-7
7. 2 | x+1 | - 3 =17
</span> add 3 to both sides 2|x+1|=20 divide both sides by 2 |x+1|=10 assume x+1=10 and x+1=-10 minus 1 both sides x=9 and -11
<span>1. x=-2 and x=2 2. x=-4 and x=10 3. x=-13 and x=8 4. x=-12 and x=4 5. x=-4 and -2 6. x=-7 7. </span>x=-11 and x=9
Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative. Take a look at some examples. The distance from 5 to 0 is 5 units.