Question

9 <=1 - 2x , x € {-3,-4,-5 -6} Solve the inequation qnd also represent it on number line​

Answer 1

Answer:

Step-by-step explanation:

9 ≤ 1-2x

adding -9+2x both sides

9-9+2x  ≥  1-2x-9+2x

2x  ≥  -8

x ≥ -4

Now x ∈ { -3,-4,-5,-6}

and x is equal to or more than -4

thus  x={ -3,-4}

Answer 2

Answer:

x = {-6, -5, -4}

Step-by-step explanation:

9 <= 1 -2x

Subtracting 1 on both side

9 -1 <= 1 -2x -1

8 <= -2x

Dividing -2 on both side

Remember Inequality sign changes on multipling/ dividing by negative numbers.

8/-2 => -2x / -2

-4 => x

Therefore from the replacement set

x = {-6, -5, -4}

Thank You