Which of the following is not a way to represent the solution of the inequality 5(x + 2) greater than or equal to 7x + 2(x − 1)? . a number line with a closed circle on 3 and shading to the right. a number line with a closed circle on 3 and shading to the left. 3 greater than or equal to x . x less than or greater to 3

For this case we have the following inequality:

We must rewrite the inequality to find the solution.

By doing distributive property we have:

Adding similar terms we have:

Combining similar terms:

Rewriting we have:

Clearing the value of x we have:

Therefore, the solution set is:

(-∞, 3]

The following is not a way to represent the solution of the inequality:

A number line with a closed circle on 3 and shading to the right

option: B is correct.

( A number line with a closed circle on 3 and shading to the left ).

Step-by-step explanation:

We are asked to find which  of the following is not a way to represent the solution of the inequality 5(x + 2) greater than or equal to 7x + 2(x − 1) i.e. we are given a inequality as:

i.e.

i.e.

Hence, the region in the number line is:

(-∞,3]

Hence, we get a number line with a closed circle at  3 and shaded region to the left of 3.

Hence Option B is correct.

( A number line with a closed circle on 3 and shading to the left ).

what is the graph

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°