Solving Inequalities in One Variable

Front

What do the phrases 'At most' and 'No more than' indicate in inequalities?

Back

They indicate the use of the symbol ≤ (less than or equal to).

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Front

What does the inequality 6 > x mean?

Back

It means that x is less than 6.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Front

Solve for x: 3x − 8 ≥ 4(x − 1.5)

Back

x ≤ −2.

Tags

CCSS.HSA.REI.B.3

Front

In an equation or inequality, what is the goal for the variable?

Back

To isolate the variable (get it by itself).

Tags

CCSS.HSA.CED.A.4

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.REI.B.4

Front

Juan is saving for a new computer and has saved $213. He saves $3 a day and needs at least $654. How many weeks will it take him to save for the computer?

Back

At least 147 weeks.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Front

What is the solution to the inequality x + 5 < 12?

Back

x < 7.

Tags

CCSS.HSA.REI.B.3

Front

What does the symbol > mean in inequalities?

Back

It means 'greater than'.

Tags

CCSS.HSA.REI.B.3

Front

If x ≤ 10, what can we say about the value of x?

Back

x can be any number less than or equal to 10.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Front

What is the first step in solving the inequality 2x + 3 > 7?

Back

Subtract 3 from both sides.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Front

What does the phrase 'at least' indicate in inequalities?

Back

It indicates the use of the symbol ≥ (greater than or equal to).

Tags

CCSS.HSA.REI.D.12