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Question

A physicist measures the energies of atoms \( \mathrm{A} \) and \( \mathrm{B} \) to be the positive values \( \mathrm{a} \) and \( \mathrm{b} \) respectively. He determines that the energy of atom \( B \) is between one percent more than and one percent less than twice the energy of atom \( \mathrm{A} \). Which of the following systems of inequalities best models the possible range of values for the energies of atoms A and B? A) \( \left\{\begin{array}{l}a<2.02 b \\ a>1.98 b\end{array}\right. \) B) \( \left\{\begin{array}{l}a<2 b+0.02 \\ a>2 b-0.02\end{array}\right. \) C) \( \left\{\begin{array}{l}b<2.02 a \\ b>1.98 a\end{array}\right. \) D) \( \left\{\begin{array}{l}b<2 a+0.02 \\ b>2 a-0.02\end{array}\right. \)

          A physicist measures the energies of atoms \( \mathrm{A} \) and \( \mathrm{B} \) to be the positive values \( \mathrm{a} \) and \( \mathrm{b} \) respectively. He determines that the energy of atom \( B \) is between one percent more than and one percent less than twice the energy of atom \( \mathrm{A} \). Which of the following systems of inequalities best models the possible range of values for the energies of atoms A and B?
A) \( \left\{\begin{array}{l}a<2.02 b \\ a>1.98 b\end{array}\right. \)
B) \( \left\{\begin{array}{l}a<2 b+0.02 \\ a>2 b-0.02\end{array}\right. \)
C) \( \left\{\begin{array}{l}b<2.02 a \\ b>1.98 a\end{array}\right. \)
D) \( \left\{\begin{array}{l}b<2 a+0.02 \\ b>2 a-0.02\end{array}\right. \)

A physicist measures the energies of atoms A and B to be the positive values a and b respectively. He determines that the energy of atom B is between one percent more than and one percent less than twice the energy of atom A. Which of the following systems of inequalities best models the possible range of values for the energies of atoms A and B?
A) {
a<2.02 b
a>1.98 b
.
B) {
a<2 b+0.02
a>2 b-0.02
.
C) {
b<2.02 a
b>1.98 a
.
D) {
b<2 a+0.02
b>2 a-0.02
.

Added by Melissa F.

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