Ө 100%
LO
Which number line represents the solution to 2m + 24 - 4m < 6m?
OA
H+
-5 -4 -3 -2 -1 0
>
6
1 2 3 4 5
CH
OB
-6 -5 -4 -3 -2 -1
→
7
0 1 2 3 4 5
6
Oc.
>
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
OD
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15