Question

Find all possible answers and check your solutions.Solve equation.

a. |x| = 7 b. |2x| = 32

c. |x+7| = 10 d. |x| = 53.1

Answer 1

a. x=7,-7
Verification: l7l=7 l-7l=7

b. l2xl=32
/2 /2
lxl=16,-16
Verification: l2(16)l=32 l2(-16)l=32
l32l=32 l-32l=32
32=32

c. lx+7l=10
-7 -7
lxl=3
Verification: l3+7l=10
l10l=10

d. lxl=53.1,-53.1
Verification: l53.1l=53.1 l-53.1l=53.1
53.1=53.1

HOPE THIS HELPS!!!

Answer 2

A.
lxl=7
x=7 x=-7 (Take two cases, one as the others side negative and the other as positive)
B.
l2xl=32
2x=32 2x=-32
x=16 x=-16
C.
lx+7l=10
x+7=10 x+7=-10
x=3 x=-17
D.
lxl=53.1
x=53.1 x=-53.1