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:The compound inequality has no solution.Step-by-step explanation:Consider the provided inequality.[tex]5x-4\geq 12,\ and\ 12x+5\leq -4[/tex]Solve the inequalities for x.Consider the first inequality.[tex]5x-4\geq 12\\5x\geq 12+4\\5x\geq 16\\x\geq 3.2[/tex]Therefore, the value of x should be greater than or equal to 3.2Now consider the second inequality.[tex]12x+5\leq -4\\12x\leq -4-5\\12x\leq -9\\x\leq -0.75[/tex]Therefore, the value of x should be less than or equal to -0.75From 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.