Respuesta :
248 to 370 gems
set up two equations
132=(1/2)x+8 x=248
193=(1/2)x+8 x=370
set up two equations
132=(1/2)x+8 x=248
193=(1/2)x+8 x=370
Answer:
the range will be 248 ≤ x ≤ 370
Step-by-step explanation:
The given inequality models the range of amount of gems.
132 ≤ 1/2x + 8 ≤ 193
So we have to solve the inequality for the value of x.
132 ≤ [tex]\frac{1}{2}x[/tex] + 8 ≤ 193
Now we subtract 8 from the inequality.
132 - 8 ≤ ([tex]\frac{1}{2}x[/tex] + 8) - 8 ≤ 193 - 8
124 ≤ [tex]\frac{x}{2}[/tex] ≤ 185
Now we multiply the inequality by 2
124 × 2 ≤ [tex](\frac{x}{2})[/tex] × 2 ≤ 185 × 2
248 ≤ x ≤ 370
So the range will be 248 ≤ x ≤ 370
