Flashcard - Solving 1 Dimensional Inequalities

Front

When solving inequalities, what must you do to the inequality when multiplying or dividing by a negative number?

Back

You must flip the inequality.

Front

Write an inequality for the interval -2 ≤ x ≤ 5.

Back

-2 ≤ x ≤ 5

Front

What is the first step to solve the equation 3(x-2)=2x+7?

Back

Use the distributive property to get rid of the parentheses.

Front

Translate the statement: 'The product of 5 and x decreased by 3 is no more than 2.'

Back

5x - 3 ≤ 2

Front

Solve the compound inequality: 24 > -3r > -9.

Back

-8 < r < 3

Front

What is the solution to the inequality 2x + 3 < 7?

Back

x < 2

Front

How do you represent the solution to the inequality x - 4 ≥ 0?

Back

x ≥ 4

Front

What does the inequality x < 5 represent on a number line?

Back

All numbers to the left of 5, not including 5.

Front

What is the result of solving the inequality -2x + 6 > 0?

Back

x < 3

Front

What is the solution to the inequality 5x - 1 < 4?

Back

x < 1