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5. 2x > 7 a. -9 b. 0 c. 4 d. 9

User Amaan
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The correct answer for the inequality 2x > 7 is 9. For the slope calculation, the answer is approximately 4.5. In standard notation, numbers are written without exponents, such as 7.11 × 10^-2 becoming 0.0711.

Understanding Inequalities, Slope Calculation, and Standard Notation

To answer the first question regarding the inequality 2x > 7, we need to solve for x to determine which of the given options is a solution. We divide both sides of the inequality by 2 and find that x > 3.5. Therefore, the correct answer is d. 9, since 9 is greater than 3.5.

For the question about the slope, we use the formula (y2 - y1)/(x2 - x1) to calculate the slope between two points. Substituting the given points (1, 0.1) and (7, 26.8) we get (26.8 - 0.1)/(7 - 1) which simplifies to 26.7/6, or approximately 4.45. Hence, the closest answer is b. 4.5.

Expressing numbers in standard notation simply means writing them in normal number form without the exponent. For example:

a. 7.11 × 10^-2 is 0.0711

b. 9.18 × 10^2 is 918

c. 3.09 x 10^7 is 30,900,000

The probable question may be:

Which value of x satisfies the inequality 2x > 7?

a. -9

b. 0

c. 4

d. 9

User Wim Den Herder
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