Multi-Step Inequalities

A multi-step inequality is an inequality that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

Divide both sides by -4, remembering to flip the inequality sign: a ≥ 7.

Graphing the solution set involves drawing a number line and shading the region that represents all possible solutions to the inequality.

The solution is a < -2.

Subtract 14 from both sides to get -4x ≤ 40, then divide by -4 (flipping the inequality) to find x ≥ -10.

Distribute the 7 on the right side: 28 - k ≥ 7k - 28.

It represents all values of p that are greater than or equal to 20.

Substitute the solution back into the original inequality to see if it makes the inequality true.

Flipping the inequality sign ensures that the relationship between the two sides of the inequality remains valid.

The solution is k ≤ 7.