# Hotmath

Title:
Hotmath
Author:
Hotmath
Chapter: Real Numbers and the Pythagorean Theorem Section: Solving One-Step Inequalities

Problem: 1

Obtain an inequality for the solution set graphed.

Problem: 3

What changes were made to the first inequality to get the second inequality?

x – 7 9, x 16

Problem: 5

Solve the inequality.

–2 + 12 k

Problem: 7

Solve the inequality.

3 (15 + 2) j

Problem: 9

Solve the inequality.

e – 15 10

Problem: 11

Solve: p – 3 7. Then plot the graph.

Problem: 13

Solve: 3 p + 9. Then plot the graph.

Problem: 15

Solve: 2 k – 5. Then plot the graph.

Problem: 17

Solve. Sketch the solutions.

n – 19 5

Problem: 19

Give justification for each step.

7 + a + 2 13

7 + 2 + a 13

9 + a 13

9 – 9 + a 13 – 9

a 4

Problem: 21

Represent the phrase by two inequalities. Then plot the graph.

All real numbers less than or equal to –1.

Problem: 23

Form an inequality for the given sentence. Then solve it.

Eleven plus a number n is greater than seventeen.

Problem: 25

Form an inequality for the given sentence. Then sketch its graph.

Stephen is less than 6 ft. 3 in.(75 in.) tall.

Problem: 27

What changes are made to the first inequality to get the second?

5 x 45, x 9

Problem: 29

What changes are made to the first inequality to get the second?

Problem: 31

Solve the inequality.

–26 –2 b

Problem: 33

Obtain the solution of the given inequality and check the solution. Graph its solution on a number line.

–7 y –42

Problem: 35

Solve: 4 d 7. Then plot its graph.

Problem: 37

Obtain the solution of the given inequality and check the solution. Graph its solution on a number line.

Problem: 39

Obtain the solution of the given inequality and check the solution. Graph its solution on a number line.

Problem: 41

Solve the inequality.

Problem: 43

Give justification for each step.

–9 m –45

m 5

Problem: 45

Find the greatest integer that satisfies the given condition.

The product of an integer and –5 is greater than –20.

Problem: 47

Form an inequality for the given sentence. Then solve it.

The product of negative three and a number a is greater than nine.

Problem: 49

If the area of a rectangle is greater than 175 sq.cm and the length of the rectangle is 25 cm, write an inequality for its width. Then solve it.

Problem: 51

John is saving to buy a motorcycle that will cost at least \$155. He already has saved \$65. Form an inequality to obtain how much money m he will have to still save.