One step inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality 24 ≤ h + 15?

Back

Subtract 15 from both sides: 24 - 15 ≤ h, which simplifies to 9 ≤ h or h ≥ 9.

Front

What is the solution to the inequality 15 > -5 + z?

Back

Add 5 to both sides: 20 > z, which simplifies to z < 20.

Front

How do you solve the inequality 26 < f + 32?

Back

Subtract 32 from both sides: 26 - 32 < f, which simplifies to -6 < f or f > -6.

Front

What is the solution to the inequality -5m < 10?

Back

Divide both sides by -5 (remember to flip the inequality): m > -2.

Front

How do you solve the inequality -4 + y < -8?

Back

Add 4 to both sides: y < -8 + 4, which simplifies to y < -4.

Front

What is the difference between 'less than' and 'greater than' in inequalities?

Back

'Less than' (<) indicates that one value is smaller than another, while 'greater than' (>) indicates that one value is larger than another.

Front

What does it mean to graph an inequality on a number line?

Back

Graphing an inequality on a number line involves drawing a line or shading to represent all the values that satisfy the inequality.