Question

Enter the solution to the inequality in the box. −10x−4≥−4(x−2)

Answer 1

−10x−4≥−4(x−2)
-10x - 4>-4x +8
-10x +4x > 8 +4
-6x >12
   x >-12/6
   x>-2

Answer 2

Answer:

$x\leq -2$

Step-by-step explanation:

−10x−4 ≥ −4(x−2)     Given

-10x - 4 ≥ -4x + 8    Distributive property (-4 times x and -4 times -2)

-6x -4 ≥ 8    Addition or subtraction property (Add 4x to both sides)

-6x ≥ 12  Addition or subtraction property (Add 4 to both sides)

$6x \leq -12$   Multiplication or division property (Multiply both sides by -1, reverse the inequality)

  $x \leq -2$  Multiplication or division property (Divide both sides by 6)