5-1 to 5-3 Check In

Front

What does the inequality -2x + 3 > -7 represent on a number line?

Back

The solution set includes all values of x that make the inequality true, which can be graphed as a line starting from x < 5.

Front

How do you solve the inequality -x + 4 >= -1?

Back

Add x to both sides and subtract 4 from both sides to get x <= 5.

Front

What is the solution to the inequality 2x + 3 >= 13?

Back

Subtract 3 from both sides and divide by 2 to find x >= 5.

Front

Match the graph to the inequality 9 <= 2m + 2 - 3.

Back

The correct graph is A, which represents the solution set for m >= 5.

Front

What does the inequality -5(x + 3) + 2x > -6 simplify to?

Back

It simplifies to -3x > 9, or x < -3.

Front

How do you graph the inequality -x + 1 < -4?

Back

First, solve for x to get x > 5, then graph a number line with an open circle at 5 and shade to the right.

Front

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

Back

Subtract 3 from both sides to isolate the term with x.

Front

What does the graph of the inequality 2x + 3 > 13 look like?

Back

It is a number line with an open circle at 5 and shading to the right.

Front

How do you determine the solution set for the inequality -x + 4 >= -1?

Back

Rearrange to find x <= 5, then graph it with a closed circle at 5.

Front

What is the solution to the inequality -5(x + 3) + 2x > -6?

Back

The solution is x < -3.