Solving Equations and Inequalities

Front

What does it mean when we say 'x ≤ 20'?

Back

It means that the value of x can be 20 or any number less than 20.

Front

What is the solution to the equation 3x + 15 = 3(x + 5)?

Back

Infinitely Many Solutions.

Front

What does 'h ≥ 48' signify in the context of height requirements?

Back

It means that a person must be at least 48 inches tall.

Front

Identify the error in the equation: 19 - 2k = 3k - 1. What should be done instead of adding 3k?

Back

They should subtract 3k instead of adding it.

Front

Solve the inequality: 5(6 + 3r) + 7 ≥ 127.

Back

r ≥ 6.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does the symbol '>' represent in inequalities?

Back

It means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

It means 'less than'.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides to get 2x < 8, then divide by 2 to find x < 4.

Front

What is the first step in solving the equation 4x - 7 = 9?

Back

Add 7 to both sides to isolate the term with x.