Question

What is the solution set of |2x – 3| – 10 = –1?

6 or –3

6 or 3

6 or –6

No solution

Answer 1

6 or -3

Answer 2

how'd u get it?

Answer 3

absolute value means how far it is from 0 on the number line. so the absolute value of 5, is 5 because on number line, it is 5 units from 0. however, the absolute value of -5 is still 5 because it is still 5 units from 0.
so first get the absolute value by it self by adding 10 on each side
l2x-3l = 9
then since its an absolute value
2x-3 can be positive or negative 9. I9I = 9 or I -9 I = 9
so you have to set 2x-3 equal to 9 and -9.
so 2x-3=9 or 2x-3=-9.
2x=12 or 2x=-6
x=6 or x=-3
therefore, x=6 and x=-3.
sub in numbers to check

Answer 4

u can directly plug in the numbers from options and check whether it satisfies the equation
like let me do it for 6
|12-3|-10=-1
9-10=-1--->true
so 6 is a solution.
now can u find another number?

Answer 5

Ya I get it..........Thanks all of u

Answer 6

|2x – 3| – 10 = –1
=>2x-3-10=-1
=>2x-13=-1
=>2x=12
=>x=12/2=6


|2x – 3| – 10 = –1
=>-(2x-3)-10=-1
=>-2x+3-10=-1
=>-2x-7=-1
=>-2x=6
=>x=6/-2=-3

Answer 7

Thanks

Answer 8

:)