How does one do this problem?

The solution of the given inequality is .

Explanation:

The given inequality is,

The related equation is,

By Equating each factor equal to 0. we get x = -3, -1, 0, 7. These four points divides the number line in 5 intervals.

We will not included -3 and 7 because for x=-3,7 the function is not defined.

Choose any point from each interval. if the point satisfies the inequality it means the interval is the solution of the inequality.

The value of expression on the left side of the inequality either positive of negative as show in the figure.

Since the sign of inequality is less than or equal, therefore interval with negative signs ae the solutions of the given inequality.

The inequality satisfies the inequality, therefore solution of the given inequality is .

Step-by-step explanation:

4(2x+3)-5y

=8x+12-5y

Sum means addition: 2x+3

Term: Term could be a single number , variable, or the product of both. we have 8x, 12,-5y

Product ( multiplication): we have 4(2x+3), 2 multiplied by x(2x), 5y

Factor(part of a product : factor of 8x=8, x, 2 and 4

Factor of -5y=-5 and y

Factor of 12=2,4,6

Quotient ( it is the result obtained by dividing one quantity by another)= Not present in the expression. The expression doesn't have a division

Coefficient : is a number which is in product with variable.

Coefficient of 8x=8

Coefficient of -5y=-5

Coefficient of 12=12