Question

2 - 6x < -10 ; a= -2, a=4

Answer 1

2 - 6х < -10
-6х < -10 - 2
-6х < -12
х=-2

Answer 2

To solve the inequality "2 - 6x < -10," you need to find the values of "x" that satisfy this inequality. Let's solve it step-by-step for both values of "a" (a = -2 and a = 4):

1. When a = -2:

Replace "a" with -2 in the inequality:

2 - 6x < -10

Now, isolate "x" by moving the constant term (-2) to the other side:

-6x < -10 - 2 -6x < -12

Next, divide both sides by -6, remembering that dividing by a negative number reverses the inequality:

x > (-12) / (-6) x > 2

So, when a = -2, the solution to the inequality is x > 2.

2. When a = 4:

Replace "a" with 4 in the inequality:

2 - 6x < -10

Now, isolate "x" by moving the constant term (2) to the other side:

-6x < -10 - 2 -6x < -12

Next, divide both sides by -6:

x > (-12) / (-6) x > 2

So, when a = 4, the solution to the inequality is also x > 2.

In conclusion, for both values of "a" (a = -2 and a = 4), the solution to the inequality is x > 2.