Question

Which numbers are solutions to the inequality

– 3x-3<6? Select all that apply.
A. -5
B. -4
C. 0
D. 2
E.4

Answer 1

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Explanation:

Edge 2021

Answer 2

C. 0

D.2

E.4

Explanation:

To know which numbers are solutions to the inequality, we will follow the steps below:

-3x -3 < 6

add 3 to both-side of the inequality

-3x -3 + 3 <6+3

-3x < 9

Divide both-side of the inequality by -3

-3x/-3 >9/-3

whenever we are dividing both-side of inequality by a negative number, the inequality sign will change

x > -3

all values of x that are greater than -3 will satisfy the inequality

They are 0, 2 and 4

check the solution:

for x=0

-3x -3 < 6

-3(0) -3 < 6

-3 < 6

for x = 2

-3x -3 < 6

-3(2) -3 < 6

-6 -3 < 6

-9< 6

for x = 4

-3x -3 < 6

-3(4)-3 < 6

-12-3 < 6

-15 < 6