All categories

3 years ago

What is the solution to the compound inequality 3x-8 less than or equal to -5 or 2x - 7 > 5

Mathematics

1 answer:

Svetllana [295]3 years ago

7 0

Answer:

The solution for the compound inequality = ∅

Step-by-step explanation:

The given inequality:

3x - 8 ≤ -5 & 2x - 7 > 5

For the inequality 3x - 8 ≤ -5

3x - 8 ≤ -5 add 8 to both sides

3x ≤ 3 divide both side by 3

x ≤ 1

So, the solution of the inequality 3x - 8 ≤ -5 ⇒ x ∈ (-∞ , 1]

For the inequality 2x - 7 > 5

2x - 7 > 5 add 7 to both sides

2x > 12 divide both sides 2

x > 6

So, the solution of the inequality 2x - 7 > 5 ⇒ x ∈ (6 , ∞)

The solution for the compound inequality will be:

(-∞ , 1] ∩ (6 , ∞) = ∅

See the attached figure.

You might be interested in

Use the definition of the logarithmic function to find x. log4 0.25=x x=?

GREYUIT [131]

The answer is -1.

$log_4(0.25) =log_4( \frac{1}{4})= log_4(4^{-1} ) \\ \\ 
log(x^{a} ) = a*log(x) \\ \\ 
log_4(4^{-1} )= -1 *log_4(4) \\ \\ 
log_y(x) = \frac{log(x)}{log(y)} \\ \\ 
-1 *log_4(4) = -1* \frac{log(4)}{log(4)} = -1$

5 0

3 years ago

The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels. One day, she counts 15 s

poizon [28]

Im going to guess its either b or c.

7 0

3 years ago

Read 2 more answers

Q2) The following travel times were measured for vehicles traversing a 2,000 ft. segment of an arterial: Vehicle Travel Time (s)

adelina 88 [10]

Answer:

TMS = 45.78 m/s

SMS = 45.66 m/s

Step-by-step explanation:

Vehicle Travel Time (s)

1 40.5

2 44.2

3 41.7

4 47.3

5 46.5

6 41.9

7 43.0

8 47.0

9 42.6

10 43.3

Time mean speed and space mean speed are parameters used to express the speed of a group of vehicles in traffic flow.

Time mean speed is given as the average speed of all the cars

The speed for each vehicle is calculated by dividing the (2000 ft) distance by the time taken by each vehicle to complete that segment of the journey.

Let vehicle = V

Travel time = time

Speed = s

V | Time | speed (ft/s)

1 | 40.5 | 49.383

2 | 44.2 | 45.249

3 | 41.7 | 47.962

4 | 47.3 | 42.283

5 | 46.5 | 43.011

6 | 41.9 | 47.733

7 | 43.0 | 46.512

8 | 47.0 | 42.553

9 | 42.6 | 46.948

10| 43.3 | 46.189

TMS = (Σsᵢ)/N

Σsᵢ = (49.383+45.249+47.962+42.283+43.011+47.733+46.512+42.553+46.948+46.189)

Σsᵢ = 457.823

N = number of vehicles = 10

TMS = 457.823 ÷ 10 = 45.7823 = 45.782 m/s

b) Space mean speed is given as

SMS = N ÷ [Σ (1/sᵢ)]

V | Time | speed | (1/sᵢ)

1 | 40.5 | 49.383 | 0.02025

2 | 44.2 | 45.249 | 0.02210

3 | 41.7 | 47.962 | 0.02085

4 | 47.3 | 42.283 | 0.02365

5 | 46.5 | 43.011 | 0.02325

6 | 41.9 | 47.733 | 0.02095

7 | 43.0 | 46.512 | 0.02150

8 | 47.0 | 42.553 | 0.02350

9 | 42.6 | 46.948 | 0.02130

10| 43.3 | 46.189 | 0.02165

Σ (1/sᵢ) = (0.02025+0.02210+0.02085+0.02365+0.02325+0.02095+0.02150+0.02350+0.02130+0.02165)

Σ (1/sᵢ) = 0.219

SMS = 10 ÷ [Σ (1/sᵢ)] = 10 ÷ 0.219

SMS = 45.662 m/s

Hope this Helps!!!

4 0

3 years ago

X - 2 > 4 What is the answer?

Rina8888 [55]

Answer:

$x - 2 > 4 \\ then \\ x = 4 + 2 \\ therefore \\ x = 6$

Step-by-step explanation:

HOPE IT HELPS U MATE

5 0

3 years ago

43. Para determinar la altura de un árbol nos apoyamos en los siguientes triángulos semejantes que se forman entre el árbol y

MArishka [77]

Respuesta:

A.) BA = 12 m

Explicación paso a paso:

Usando triángulos similares:

BA / AC = DE / EC

BA = x; AC = 20; DE = 3; EC = 5

POR ESO ; TENEMOS :

x / 20 = 3/5

Multiplicar en cruz:

5 * x = 20 * 3

5 veces = 60

5x / 5 = 60/5

x = 12

3 0

3 years ago