Question

where did the granite go on saturday
write the letter of each answer in the box containing the exercis
solve the inequality.

1. ( x + 12 < -4 )
2. ( -3 geq x - 11 )
3. ( x - 6 < -7 )
4. ( 2 geq x - 1 )
5. ( x + 9 < 10 )
6. ( 12 + x > 8 )
7. ( x - (-14) geq 30 )
8. ( x - 22 + 16 < -3 )
9. ( 5 > x - (-5) )
10. ( 7 - 26 + x geq -11 )
11. ( 36 leq 6x - 5x - 16 )

write the sentence as an inequality. then solve the inequality.

1. a number ( x ) plus 24 is greater than 23.
2. a number ( x ) minus 5 is at least ( -4 ).
3. the sum of a number ( x ) and 19 is less than or equal to 35.
4. the number of minutes you can use on your prepaid cell phone is no more than 700 minutes. you have used 648 minutes. write and solve an inequality that represents how many more minutes you can use on your cell phone.
5. the side lengths of a triangle are 11.3 centimeters, 14.7 centimeters, and ( x ) centimeters. the perimeter of the triangle is less than 44 centimeters. write and solve an inequality to find the possible values of ( x ).

11 4 7 10 3 15 16 6 13

Explanation:

Problem 1: \( x + 12 < -4 \)

Step1: Subtract 12 from both sides.

\( x + 12 - 12 < -4 - 12 \)

Step2: Simplify both sides.

\( x < -16 \)

Step1: Add 11 to both sides.

\( -3 + 11 \geq x - 11 + 11 \)

Step2: Simplify both sides.

\( 8 \geq x \) or \( x \leq 8 \)

Step1: Add 6 to both sides.

\( x - 6 + 6 < -7 + 6 \)

Step2: Simplify both sides.

\( x < -1 \)

Answer:

\( x < -16 \)

Problem 2: \( -3 \geq x - 11 \)