Respuesta :
Answer:
No solution
Step-by-step 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
There is no solution for the x for the given inequalities 5x−4≥12 and 12x+5≤−4.
What is inequality?
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The inequalities are:
5x−4≥12 and 12x+5≤−4
First, solve the inequality:
5x−4≥12
5x≥12+4 (adding 4 on both sides)
5x≥16
x≥16/5 (divide by 5 on both sides)
Solving the second inequality:
12x+5≤−4
12x≤−4-5 (subtract 5 on both sides)
12x≤ -9
x≤ -9/12 (divide by 12 on both sides)
In the first inequality x≥16/5 and second x≤ -9/12 there is no intersection between these inequalities.
Thus, there is no solution for the x for the given inequalities 5x−4≥12 and 12x+5≤−4.
Learn more about the inequality here:
brainly.com/question/19491153
