Answer:
4 < x < 12
Step-by-step explanation:
Given the compound inequality statements:
17 < 4x + 1 and 49 > 4x + 1
Switch sides:
4x + 1 - 1 > 17 - 1
4x > 16
4x/4 > 16/4
x > 4
49 > 4x + 1
4x + 1 < 49
4x + 1 - 1 < 49 - 1
4x < 48
4x/4 < 48/4
x < 12
Therefore, the correct answer is: 4 < x < 12
{y|1 > y}, (-∞, 1); you did not specifically mention what notation you needed, so I wrote both [Internal Notation and Set Notation].
11.2 feets
Angle, P = 180 - (38 + 90) = 52
Using trigonometry :
Length pq:
SinP = opposite / hypotenus
Sin52 = 8.8 / pq
0.7880107 * pq = 8.8
pq = 8.8 / 0.7880107
pq = 11.167361
Hence, length of pq = 11.2 feets
Number of goals is 12 and number of behinds is 9. 6×12=72 + 1×9=9 72+9=81