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4 years ago

HELP ASAP!!! what similarities and differences did you notice between the three types of compound inequalities?

Mathematics

2 answers:

rodikova [14]4 years ago

8 0

Similarities

Adding or subtracting a number from both sides.

Multiplying or dividing both sides by a positive number.

Applying an increasing function to both sides.

Simplifying one or both sides.

Differences

Multiplying or dividing both sides by a negative number changes the direction of an inequality. So we cannot multiply or divide both sides by a variable unless we know that the variable is either always positive or always negative. This is not a concern when solving equalities.

When applying a decreasing function to both sides of an inequality, the direction of the inequality changes.

Swapping both sides of an inequality also changes the direction of an inequality. Again we don't have to worry about this with equalities.

Setler79 [48]4 years ago

4 0

Answer:Double inequalities are similar to and compound inequalities, in that their solutions need to satisfy two inequalities. However, solutions to or compound inequalities can include values that are included in either one of the two solution regions.

Step-by-step explanation:

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Read 2 more answers

Solve these equations. |x-7|=x-7

Cloud [144]

Answer:

x ≥ 7

Step-by-step explanation:

|x - 7| = x - 7

A. For each absolute, find the intervals

x - 7 ≥ 0 x - 7 < 0

x ≥ 7 x < 7

If x ≥ 7, |x - 7| = x - 7 > 0.

If x < 7, |x - 7| = x - 7 < 0. No solution.

B. Solve for x < 7

Rewrite |x - 7| = x - 7 as

+(x - 7) = x - 7

x - 7 = x - 7

-x + 14 = x

14 = 2x

x = 7

7 ≮7. No solution

C. Solve for x ≥ 7

Rewrite |x - 7| = x - 7 as

+(x - 7) = x - 7

x - 7 = x - 7

True for all x.

D. Merge overlapping intervals

No solution or x ≥ 7

⇒ x ≥ 7

The diagram below shows that the graphs of y = |x - 7| (blue) and of y = x - 7 (dashed red) coincide only when x ≥ 7.

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3 years ago

Y = 0.95X 7.95 Write and solve a linear equation to find how many songs he downloaded

Dmitry [639]

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3 years ago

Can you help me with three questions? -2x + 3 -x + 4 -x - 19

Aleksandr-060686 [28]

-2x=-3

x=1.5

-x=-4

x=4

-x=19

x=-19

Hope this helps?

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3 years ago

19. which one of the following is not equal to the rest? a 2% of 150 b. % of 400 b 3 c. 6% of 60 d. 69 of 50

Irina18 [472]

Answer:

i think it's c

Step-by-step explanation:

a. 2/100 × 150= 3. b. 100×400=40000. c. 6/100 ×60= 1.2 ×3=3.6. d. 69×50=3400 so answer c.

5 0

3 years ago