Answer: There are no solutions.
Explanation:
We are given an \maroonC{\text{AND}}ANDstart color #ed5fa6, start text, A, N, D, end text, end color #ed5fa6 statement. A certain xxx-value is a solution of the statement if it satisfies both of the inequalities.
Therefore, the solution of this statement is the intersection of the solutions of both inequalities. In other words, the overlap of the solutions of both inequalities is the solution of the statement.
Finding the solutions to the two inequalities
The solution of the first inequality, -9x+5<17−9x+5<17minus, 9, x, plus, 5, is less than, 17, is x> -\dfrac43x>−
3
4
x, is greater than, minus, start fraction, 4, divided by, 3, end fraction. [Show me the solution process]
\begin{aligned} -9x+5&< 17\\\\ -9x &< 12 \\\\ x &> -\dfrac43 \end{aligned}
The solution of the second inequality, 13x+25<-113x+25<−113, x, plus, 25, is less than, minus, 1, is x<-2x<−2x, is less than, minus, 2.
The inequalities \tealD{x>-\dfrac43}x>−
3
4
start color #01a995, x, is greater than, minus, start fraction, 4, divided by, 3, end fraction, end color #01a995 and \purpleD{x<-2}x<−2start color #7854ab, x, is less than, minus, 2, end color #7854ab are graphed below.
The intersection of the solutions of both inequalities is empty.