Question

solve the compound inequality. 3x − 4 > 5 or 1 − 2x ≥ 7

Answer 1

Answer:

x ≥ -3

Step-by-step explanation:

3x - 4 > 5 OR 1 - 2x ≥ 7

Let's solve the first equation:

3x - 4 > 5

3x - 4+4 > 5+4

3x > 9

3x/3 > 9/3

x > 3

Now let's do the second:

1 - 2x ≥ 7

1-1 - 2x ≥ 7-1

-2x ≥ 6

-2x/-2 ≥ 6/-2

x ≥ -3

Since anything greater than or equal to -3 either fits one or both of the inequalities, and the compound inequality is OR, x ≥ -3 is the solution