Solving Linear Inequalities

Front

What does the symbol ≤ represent in inequalities?

Back

The symbol ≤ represents 'less than or equal to', indicating that a value can be either less than or equal to another value.

Front

What is the solution to the inequality -13t > 26?

Back

t < -2

Front

How do you solve the inequality -7x + 15 ≥ -20?

Back

x ≤ 5

Front

What is the solution to the inequality X + 6 > 10?

Back

X > 4

Front

What is the solution to the inequality -7 + 10z > -27?

Back

z > -2

Front

What does a closed circle on a number line indicate?

Back

A closed circle indicates that the number is included in the solution set (≤ or ≥).

Front

What does an open circle on a number line indicate?

Back

An open circle indicates that the number is not included in the solution set (< or >).

Front

How do you graph the solution of an inequality on a number line?

Back

Use a closed circle for ≤ or ≥ and an open circle for < or >, then shade the appropriate direction.

Front

What is the first step in solving a linear inequality?

Back

Isolate the variable on one side of the inequality.

Front

What is the effect of multiplying or dividing both sides of an inequality by a negative number?

Back

It reverses the direction of the inequality symbol.