Solving Inequalities by +-*/
Multi-Step Inequalities
Compound Inequalities
Vocabulary
Undefined terms
100

Solve the inequality 5y + 8 > 4y - 3.

y>-11

100

Solve -2(y - 2) < 2(y - 4).

y > 3

100

Describe the Graph of 4x - 7 < 2x and 3x + 5 > -1

between -5 1/3 and 3 1/2

100

What is the equivalent symbol for "at least"?

greater than equal

100
What is the intersection of the ceiling and the wall of the classroom?

line

200

Describe the graph the solution of q – 27 < -19.

the values of q is less than 8

200

Find the solution to the sentence, ''2 times the sum of a number and 4 is at least 6 times the number decreased by 8''.

x is less than or equal to 4

200

write the graph of -5 < x < 5 in interval notation.

(-5, 5)

200

What is the equivalent inequality symbol for "at most"?

less than equal

200

 What line has a definite length?

line segment

300

Solve. x-3>-2.

x > 1

300

Solve an inequality for the following: 5 times a number minus 7 is less than 118.

 x < 25

300

Write the graph of x > -3 or x < 2 in interval notation

(-3, 2)

300

It has no dimension.

point

300

If point O is between points A and B in the number line, what is the opposite of ray OB?

ray OA
400

Solve 22p > 198.

p > 9

400

Solve –4(10 – n) – 6n > 8(n + 3) – 7n + 2.

n < -22

400

Solve 11x – 9 > 13 or –4x – 4 < 8.

 x>2 or x>-3

400

It has length and width, but no thickness.

plane

400

What is the least number of points a plane  can contain?

3

500

Solve –15k > -120.

k < 8

500

x<(3x-12)/4

 x < -12

500

Solve 4(3x - 5) > 4(2x - 7) or 5x - 10 < 7x 

x > -5  or x > -2

500

two lines that meet at a common point.

intersecting lines

500
What is the intersection of the wall, the ceiling, and another classroom wall?

point

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