Question

Solve for x

5x−4≥12 OR 12x+5≤−4

Please help, I'm stuck and I'm not really getting the hang of this yet.

Answer 1

5x−4≥12 OR 12x+5≤−4
Both of them are one and the answer is similar

5x−4≥12
5x ≥12+4
5x ≥16
X ≥16/5

Answer 2

No solution

Explanation:

5x−4≥12 AND 12x+5≤−4

solve it separately

5x - 4>=12

add 4 on both sides

5x >= 16

Divide both sides by 5

x > = 16/5

12x+5≤−4

subtract 5 from both sides

12x <= -9

divide both sides by 12

x<= -9/12

x<=-9/12 and x>= 16/5

There is no intersection between the inequalities

so there is no solution