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3 years ago

Solve the inequality. 2(4+2x)≥5x+5 x≤−2 x≥−2 x≤3 x≥3

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

8 0

<h2>Answer:</h2>

The solution of the inequality is:

$x\leq 3$

<h2>Step-by-step explanation:</h2>

We are given a inequality in terms of variable x as:

$2(4+2x)\geq 5x+5$

Now we are asked to find the solution of the inequality i.e. we are asked to find the possible values of x such that the inequality holds true.

We may simplify this inequality as follows:

On using the distributive property of multiplication in the left hand side of the inequality we have:

$2\times 4+2\times 2x\geq 5x+5\\\\i.e.\\\\8+4x\geq 5x+5\\\\i.e.\\\\8-5\geq 5x-4x\\\\i.e.\\\\x\leq 3$

The solution is: $x\leq 3$

sladkih [1.3K]3 years ago

4 0

Answer:

Option C.

Step-by-step explanation:

The given inequality is given as

2(4 + 2x) ≥ 5x + 5

8 + 4x ≥ 5x + 5 [Simplify the parenthesis by distributive law]

Subtract 5 from each side of the inequality

(8 + 4x) - 5 ≥ (5x + 5) - 5

3 + 4x ≥ 5x

subtract 4x from each side of the inequality

(4x + 3) - 4x ≥ 5x - 4x

3 ≥ x

Or x ≤ 3

Option C. x ≤ 3 is the correct option.

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