Basic Exponential Inequalities II

Submitted by ladislav.foltyn on Sat, 02/23/2019 - 14:22

Project ID:

5000000026

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SubArea:

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Question:

Find the solution set of each of the given inequalities.

Question Row 1:

2^{x} > 1

Answer Row 1:

(0; \infty)

(- \infty; 0)

⟨ 0; \infty)

(- \infty; 0 ⟩

Question Row 2:

{(\frac{1}{2})}^{x} \geq 1

Answer Row 2:

(0; \infty)

(- \infty; 0)

⟨ 0; \infty)

, *

(- \infty; 0 ⟩

Question Row 3:

1 > 3^{x - 1}

Answer Row 3:

(1; \infty)

, *

(- \infty; 1)

⟨ 1; \infty)

(- \infty; 1 ⟩

Question Row 4:

25 > 5^{x}

Answer Row 4:

(2; \infty)

, *

(- \infty; 2)

⟨ 2; \infty)

(- \infty; 2 ⟩

Question Row 5:

{(\frac{1}{3})}^{x} < \frac{1}{3}

Answer Row 5:

(1; \infty)

(- \infty; 1)

⟨ 1; \infty)

(- \infty; 1 ⟩

Question Row 6:

{(\frac{5}{6})}^{x} < \frac{6}{5}

Answer Row 6:

(- 1; \infty)

(- \infty; - 1)

⟨ - 1; \infty)

(- \infty; - 1 ⟩

Question Row 7:

$\left(\frac16\right)^x\leq36$

Answer Row 7:

(- 2; \infty)

(- \infty; - 2)

, *

⟨ - 2; \infty)

(- \infty; - 2 ⟩

Question Row 8:

\frac{1}{2} > 2^{2 - x}

Answer Row 8:

(3; \infty)

(- \infty; 3)

⟨ 3; \infty)

(- \infty; 3 ⟩

Tex:

% tiket 32697 \pocetsloupcu{4}

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