Question

5x−4≥12 AND 12x+5≤−4 solve in less than 10 minutes and ill give brainliest, btw i need the answer its more than just solving 2 sides and telling me what x equals on both sides

Answer 1

Answer:

The compound inequality has no solution.

Step-by-step explanation:

Consider the provided inequality.

$5x-4\geq 12,\ and\ 12x+5\leq -4$

Solve the inequalities for x.

Consider the first inequality.

$5x-4\geq 12\\5x\geq 12+4\\5x\geq 16\\x\geq 3.2$

Therefore, the value of x should be greater than or equal to 3.2

Now consider the second inequality.

$12x+5\leq -4\\12x\leq -4-5\\12x\leq -9\\x\leq -0.75$

Therefore, the value of x should be less than or equal to -0.75

From the first inequality we know that the value of x should be greater than or equal to 3.2 but from the second inequality we find that the value of x should be less than or equal to -0.75.

Which is not possible.

Hence, the compound inequality has no solution.