6) 3x + 4 < - 62 x = - 23 ⇒ 3(-23) + 4 < - 62
<u> - 4 - 4 </u> -69 + 4 < - 62
3x < -66 - 65 < - 62
<u>÷ 3 ÷3</u>
x < -22
7) x/-5 + 1 <u><</u> 7 x = -30 ⇒ -30/-5 + 1 <u><</u> 7
<u> - 1 -1</u> 6 + 1 <u><</u> 7
x/-5 <u><</u> 6 7 <u><</u> 7
<u> × -5 × -5</u>
x <u><</u> -30
8) x/3 - 2 <u>></u> -12 x = -30 ⇒ -30/3 - 2 <u>></u> -12
x/3 <u>></u> -10 -10 - 2 <u>></u> -12
<u>* 3 *3</u> -12 <u>></u> -12
x <u></u><u>></u> -30
9) -2x - 6 > -18 x = 5 ⇒ -2(5) - 6 > -18
<u> +6 +6</u> -10 - 6 > -18
-2x > -12 -16 > -18
<u>÷ -2 ÷ -2</u>
x > 6 ⇒ x < 6
*flip the inequality sign because the divisor is a negative number: This is to make the inequality true.
The first contract can go to any of 12 firms. The second can go to any of the remaining 11 firms, and so on. Finally, the 4th contract can go to any of the 9 firms that don't yet have a contract.
The number of ways the contracts can be awarded is
... 12×11×10×9 = 11,880
Answer:
6,16
Step-by-step explanation:
Answer:
m∠B = 76°
Step-by-step explanation:

Therefore, m∠B = 76°.
Answer:
Step-by-step explanation: