3more than the product of 7 and a number x is less than 26 write an inequality for the statement above. find the solution set for x. will award brainiest

The solution set of the inequality is

Further explanation:

Explanation:

If the linear equality is , than the solutions of the inequality lies with in

If the linear equality is , than the solutions of the inequality lies with in

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

The inequality from the statement can be obtained as follows,

Solve the above inequality to obtained solution.

The solution set of the inequality is

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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.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.