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Solid Below y Response area -3x + 7

Dashed Above y Response area -9x - 2
Solid Above y Response area 4
Dashed Below y Response area 10x + 1
Dashed Above y Response area -5x + 6
Which of the following symbols ( <, >) should be placed between the expressions to correctly represent the inequalities?
A) >, <, >
B) >, <,>,
C) <, >, <
D) >, <, >

User David Hobs
by
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1 Answer

3 votes

Final answer:

The correct sequence of inequality symbols between the pairs of expressions is '>', '>', and '>', which is answer choice B.

Step-by-step explanation:

To find the correct inequality symbols to place between the given expressions, we need to evaluate and compare each pair of inequalities:

  • For the first pair, 'Solid Below y Response area -3x + 7' and 'Dashed Above y Response area -9x - 2', we compare the expressions: -3x + 7 and -9x - 2. Since -9x - 2 is less than -3x + 7 for all x, the inequality is -3x + 7 > -9x - 2.
  • For the second pair, 'Dashed Above y Response area -5x + 6' and 'Solid Above y Response area 4', the comparison would be between -5x + 6 and 4. As -5x + 6 is greater than 4 for x < 0.4, the inequality is -5x + 6 > 4.
  • Finally, for the third pair 'Dashed Below y Response area 10x + 1' and 'Dashed Above y Response area -5x + 6', we compare 10x + 1 and -5x + 6. Since 10x + 1 is greater than -5x + 6 for all x, the inequality is 10x + 1 > -5x + 6.

Thus, the correct sequence of inequality symbols is '>', '>', and '>', corresponding to answer choice B.

User Edward Carney
by
7.8k points