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4 years ago

3 more than the product of 7 and a number x is less than 26.

Mathematics

2 answers:

shtirl [24]4 years ago

5 0

we know that

An inequality for the statement

$3$ more than the product of $7$ and a number x is less than $26$

is equal to

$3+7x < 26$

<u>Find the solution set for X</u>

$3+7x < 26 \\\\ 7x < 26-3\\\\ 7x < 23\\\\ x < \frac{23}{7} \\\\ x < 3\frac{2}{7}$

therefore

the answer is

the solution is the interval--------> (-∞, $3\frac{2}{7}$ )

expeople1 [14]4 years ago

3 0

The solution of the inequality $3 + 7x < 26$ is $\boxed{x < \frac{{23}}{7}}{\text{ or }}\boxed{x = 3\frac{2}{7}}.$

Further explanation:

The solutions of the linear inequality lie in the intervals.

If the linear equality is $x < a$ , than the solutions of the inequality lies in the interval of $\boxed{\left( { - \infty ,a} \right)}.$

Given:

The statement is 3 more than the product of 7 and a number x is less than 26.

Explanation:

The inequality from the statement can be obtained as follows,

$3 + 7x < 26$

Solve the above inequality to obtained solution.

$\begin{aligned}3 + 7x &< 26\\3 + 7x - 3 &< 26 - 3\\7x &< 23\\\frac{{7x}}{7} &< \frac{{23}}{7}\\x &< \frac{{23}}{7}\\x&< 3\frac{2}{7}\\\end{aligned}$

The solution of the inequality $3 + 7x < 26$ is $\boxed{x < \frac{{23}}{7}}{\text{ or }}\boxed{x = 3\frac{2}{7}}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: inequality, statement, product, 3, more, number, less than, solution, solution set, fraction, integer, x.

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