Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' represent in inequalities?

Back

'≥' means 'greater than or equal to'.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 6 + 2h > 30?

Back

Subtract 6 from both sides to get 2h > 24, then divide by 2 to find h > 12.

Tags

CCSS.7.EE.B.4B

Front

What is the first step in solving the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides to isolate the term with x, resulting in -4x ≤ 40.

Tags

CCSS.6.EE.B.8

Front

How do you isolate x in the inequality -4x ≤ 40?

Back

Divide both sides by -4, remembering to reverse the inequality sign, resulting in x ≥ -10.

Tags

CCSS.6.EE.B.8

Front

What is the meaning of the solution h ≥ 54 in the context of working hours?

Back

It means that Sam needs to work at least 54 hours to afford the laptop.

Tags

CCSS.6.EE.B.8

Front

How do you write an inequality for a situation where a total amount must be at least a certain value?

Back

You can express it as 'total amount + additional amount ≥ required amount'.

Tags

CCSS.7.EE.B.4B

Front

What does the solution x > 2 indicate in the inequality x + 5 > 7?

Back

It indicates that x must be greater than 2 for the inequality to hold true.

Tags

CCSS.6.EE.B.5

Front

What is the process for solving inequalities with variables on both sides?

Back

Combine like terms and isolate the variable on one side of the inequality.

Front

What is the significance of rounding up in the context of working hours?

Back

Rounding up ensures that the total hours worked meets or exceeds the required amount.