Inequalities

Objective: Use inequalities

5-Minute CheckSolve each equation using the inverse operation.1. 5 + r = 12

5-Minute CheckSolve each equation using the inverse operation.1. 5 + r = 12 7

5-Minute CheckSolve each equation using the inverse operation.1. 5 + r = 12 72. 34 = 2s

5-Minute CheckSolve each equation using the inverse operation.1. 5 + r = 12 72. 34 = 2s 17

5-Minute CheckSolve each equation using the inverse operation.1. 5 + r = 12 72. 34 = 2s 173. 7 = g/12

5-Minute CheckSolve each equation using the inverse operation.1. 5 + r = 12 72. 34 = 2s 173. 7 = g/12 84

5-Minute CheckSolve each equation using the inverse operation.1. 5 + r = 12 72. 34 = 2s 173. 7 = g/12 844. 4.37 = y – 9.32

5-Minute CheckSolve each equation using the inverse operation.1. 5 + r = 12 72. 34 = 2s 173. 7 = g/12 844. 4.37 = y – 9.32 13.69

5-Minute CheckSolve each equation using the inverse operation.1. 5 + r = 12 72. 34 = 2s 173. 7 = g/12 844. 4.37 = y – 9.32 13.69 5. Astronomers keep track of about 7000 objects. One

out of every ten of these is a satellite. The rest are “space trash.” About how many satellites are astronomers tracking?a. Define a variable.

5-Minute CheckSolve each equation using the inverse operation.1. 5 + r = 12 72. 34 = 2s 173. 7 = g/12 844. 4.37 = y – 9.32 13.695. Astronomers keep track of about 7000 objects. One

out of every ten of these is a satellite. The rest are “space trash.” About how many satellites are astronomers tracking?a. Define a variable. s = satellites

5-Minute CheckSolve each equation using the inverse operation.1. 5 + r = 12 72. 34 = 2s 173. 7 = g/12 844. 4.37 = y – 9.32 13.695. Astronomers keep track of about 7000 objects. One

out of every ten of these is a satellite. The rest are “space trash.” About how many satellites are astronomers tracking?a. Define a variable. s = satellitesb. Write an equation.

5-Minute CheckSolve each equation using the inverse operation.1. 5 + r = 12 72. 34 = 2s 173. 7 = g/12 844. 4.37 = y – 9.32 13.695. Astronomers keep track of about 7000 objects. One

out of every ten of these is a satellite. The rest are “space trash.” About how many satellites are astronomers tracking?a. Define a variable. s = satellitesb. Write an equation. 10s = 7000

5-Minute CheckSolve each equation using the inverse operation.1. 5 + r = 12 72. 34 = 2s 173. 7 = g/12 844. 4.37 = y – 9.32 13.695. Astronomers keep track of about 7000 objects. One

out of every ten of these is a satellite. The rest are “space trash.” About how many satellites are astronomers tracking?a. Define a variable. s = satellitesb. Write an equation. 10s = 7000c. Solve for the number of satellites.

5-Minute CheckSolve each equation using the inverse operation.1. 5 + r = 12 72. 34 = 2s 173. 7 = g/12 844. 4.37 = y – 9.32 13.695. Astronomers keep track of about 7000 objects. One

out of every ten of these is a satellite. The rest are “space trash.” About how many satellites are astronomers tracking?a. Define a variable. s = satellitesb. Write an equation. 10s = 7000c. Solve for the number of satellites. 700

5-Minute CheckSolve each equation using the inverse operation.1. 5 + r = 12 72. 34 = 2s 173. 7 = g/12 844. 4.37 = y – 9.32 13.695. Astronomers keep track of about 7000 objects. One

out of every ten of these is a satellite. The rest are “space trash.” About how many satellites are astronomers tracking?a. Define a variable. s = satellitesb. Write an equation. 10s = 7000c. Solve for the number of satellites. 700d. Check your solution.

1-9 Inequalities

< > •less than•fewer than

•greater than•more than•exceeds

•less than or equal to•no more than•at most

•greater than or equal to•no less than•at least

Inequality symbols

1-9 InequalitiesExampleFor the given value, state whether each inequality is

true or false.a. x – 7 > 16, x = 15

1-9 InequalitiesExampleFor the given value, state whether each inequality is

true or false.a. x – 7 > 16, x = 15

15 – 7 > 16

1-9 InequalitiesExampleFor the given value, state whether each inequality is

true or false.a. x – 7 > 16, x = 15

15 – 7 > 168 > 16

1-9 InequalitiesExampleFor the given value, state whether each inequality is

true or false.a. x – 7 > 16, x = 15

15 – 7 > 168 > 16

This sentence is false.

1-9 InequalitiesExampleFor the given value, state whether each inequality is

true or false.a. x – 7 > 16, x = 15

15 – 7 > 168 > 16

This sentence is false.b. 16 2h/12 + 11, h = 24

1-9 InequalitiesExampleFor the given value, state whether each inequality is

true or false.a. x – 7 > 16, x = 15

15 – 7 > 168 > 16

This sentence is false.b. 16 2h/12 + 11, h = 24

16 2*24/12 + 11

1-9 InequalitiesExampleFor the given value, state whether each inequality is

true or false.a. x – 7 > 16, x = 15

15 – 7 > 168 > 16

This sentence is false.b. 16 2h/12 + 11, h = 24

16 2*24/12 + 11 16 4 + 11

1-9 InequalitiesExampleFor the given value, state whether each inequality is

true or false.a. x – 7 > 16, x = 15

15 – 7 > 168 > 16

This sentence is false.b. 16 2h/12 + 11, h = 24

16 2*24/12 + 11 16 4 + 11 16 15

1-9 InequalitiesExampleFor the given value, state whether each inequality is

true or false.a. x – 7 > 16, x = 15

15 – 7 > 168 > 16

This sentence is false.b. 16 2h/12 + 11, h = 24

16 2*24/12 + 11 16 4 + 11 16 15This sentence is true.